Least Common Multiple of 43/161, 512/964, 128/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/161, 512/964, 128/564 quickly i.e. 22016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/161, 512/964, 128/564 is 22016.

LCM(43/161, 512/964, 128/564) = 22016

LCM of 43/161, 512/964, 128/564

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 43/161,512/964,128/564

Given numbers are 43/161,512/964,128/564

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 43,512,128

Least Common Multiple of Numerators i.e. LCM of 43,512,128 is 22016.

GCF of Denominators means GCF of 161,964,564 as per the given fractions.

GCF of 161,964,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,512,128

LCM of Fractions 43/161,512/964,128/564 is 22016

2 43, 512, 128
2 43, 256, 64
2 43, 128, 32
2 43, 64, 16
2 43, 32, 8
2 43, 16, 4
2 43, 8, 2
43, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 43 x 4 x 1 = 22016

Least Common Multiple of 43,512,128 with GCF Formula

Least Common Multiple of 43,512,128 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 43,512,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,512,128) = 1

common factors(in case of two or more numbers have common factors) = 128

GCF(43,512,128) x common factors =1 x 128 = 128

LCM(43,512,128) = ( 43 × 512 × 128 ) / 128

LCM(43,512,128) = 2818048 / 128

LCM(43,512,128) = 22016


Lets's calculate GCF of 161,964,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22016/1

Therefore the LCM of Fractions 43/161,512/964,128/564 is 22016

Greatest Common Factor of 161,964,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,964,564 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 161,964,564 . The biggest common factor number is the GCF number.
So the greatest common factor 161,964,564 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 43/161, 512/964, 128/564

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 43/161, 512/964, 128/564?

Answer: LCM of Numerators as per given numbers 43/161, 512/964, 128/564 is

LCM of Numerators i.e. for 43,512,128 is 22016

GCF of denominators i.e. for 161,964,564 is 1.

Thus, LCM of Fractions is 22016.Finally, LCM of Fractions for 43/161, 512/964, 128/564 is 22016.