Least Common Multiple of 43/25, 86/87, 96/18, 64/528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/25, 86/87, 96/18, 64/528 quickly i.e. 8256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/25, 86/87, 96/18, 64/528 is 8256.

LCM(43/25, 86/87, 96/18, 64/528) = 8256

LCM of 43/25, 86/87, 96/18, 64/528

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 43/25,86/87,96/18,64/528

Given numbers are 43/25,86/87,96/18,64/528

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 43,86,96,64

Least Common Multiple of Numerators i.e. LCM of 43,86,96,64 is 8256.

GCF of Denominators means GCF of 25,87,18,528 as per the given fractions.

GCF of 25,87,18,528 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,86,96,64

LCM of Fractions 43/25,86/87,96/18,64/528 is 8256

2 43, 86, 96, 64
2 43, 43, 48, 32
2 43, 43, 24, 16
2 43, 43, 12, 8
2 43, 43, 6, 4
43 43, 43, 3, 2
1, 1, 3, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 43 x 1 x 1 x 3 x 2 = 8256

Least Common Multiple of 43,86,96,64 with GCF Formula

Least Common Multiple of 43,86,96,64 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 43,86,96,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,86,96,64) = 1

common factors(in case of two or more numbers have common factors) = 2752

GCF(43,86,96,64) x common factors =1 x 2752 = 2752

LCM(43,86,96,64) = ( 43 × 86 × 96 × 64 ) / 2752

LCM(43,86,96,64) = 22720512 / 2752

LCM(43,86,96,64) = 8256


Lets's calculate GCF of 25,87,18,528

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8256/1

Therefore the LCM of Fractions 43/25,86/87,96/18,64/528 is 8256

Greatest Common Factor of 25,87,18,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,87,18,528 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 25,87,18,528 . The biggest common factor number is the GCF number.
So the greatest common factor 25,87,18,528 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 43/25, 86/87, 96/18, 64/528

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 43/25, 86/87, 96/18, 64/528?

Answer: LCM of Numerators as per given numbers 43/25, 86/87, 96/18, 64/528 is

LCM of Numerators i.e. for 43,86,96,64 is 8256

GCF of denominators i.e. for 25,87,18,528 is 1.

Thus, LCM of Fractions is 8256.Finally, LCM of Fractions for 43/25, 86/87, 96/18, 64/528 is 8256.