Least Common Multiple of 85/88, 27/32, 64/70, 643/54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/88, 27/32, 64/70, 643/54 quickly i.e. 47221920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/88, 27/32, 64/70, 643/54 is 47221920.

LCM(85/88, 27/32, 64/70, 643/54) = 47221920

LCM of 85/88, 27/32, 64/70, 643/54

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 85/88,27/32,64/70,643/54

Given numbers are 85/88,27/32,64/70,643/54

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 85,27,64,643

Least Common Multiple of Numerators i.e. LCM of 85,27,64,643 is 94443840.

GCF of Denominators means GCF of 88,32,70,54 as per the given fractions.

GCF of 88,32,70,54 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,27,64,643

LCM of Fractions 85/88,27/32,64/70,643/54 is 47221920

Given numbers has no common factors except 1. So, there LCM is their product i.e 94443840

Least Common Multiple of 85,27,64,643 with GCF Formula

Least Common Multiple of 85,27,64,643 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 85,27,64,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,27,64,643) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,27,64,643) x common factors =1 x 1 = 1

LCM(85,27,64,643) = ( 85 × 27 × 64 × 643 ) / 1

LCM(85,27,64,643) = 94443840 / 1

LCM(85,27,64,643) = 94443840


Lets's calculate GCF of 88,32,70,54

2 88, 32, 70, 54
44, 16, 35, 27

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94443840/2

Therefore the LCM of Fractions 85/88,27/32,64/70,643/54 is 47221920

Greatest Common Factor of 88,32,70,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,32,70,54 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 88,32,70,54 . The biggest common factor number is the GCF number.
So the greatest common factor 88,32,70,54 is 2.


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 85/88, 27/32, 64/70, 643/54

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 85/88, 27/32, 64/70, 643/54?

Answer: LCM of Numerators as per given numbers 85/88, 27/32, 64/70, 643/54 is

LCM of Numerators i.e. for 85,27,64,643 is 94443840

GCF of denominators i.e. for 88,32,70,54 is 2.

Thus, LCM of Fractions is 47221920.Finally, LCM of Fractions for 85/88, 27/32, 64/70, 643/54 is 47221920.