Least Common Multiple of 32/14, 74/51, 56/73, 64/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/14, 74/51, 56/73, 64/972 quickly i.e. 16576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/14, 74/51, 56/73, 64/972 is 16576.

LCM(32/14, 74/51, 56/73, 64/972) = 16576

LCM of 32/14, 74/51, 56/73, 64/972

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 32/14,74/51,56/73,64/972

Given numbers are 32/14,74/51,56/73,64/972

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 32,74,56,64

Least Common Multiple of Numerators i.e. LCM of 32,74,56,64 is 16576.

GCF of Denominators means GCF of 14,51,73,972 as per the given fractions.

GCF of 14,51,73,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,74,56,64

LCM of Fractions 32/14,74/51,56/73,64/972 is 16576

2 32, 74, 56, 64
2 16, 37, 28, 32
2 8, 37, 14, 16
2 4, 37, 7, 8
2 2, 37, 7, 4
1, 37, 7, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 37 x 7 x 2 = 16576

Least Common Multiple of 32,74,56,64 with GCF Formula

Least Common Multiple of 32,74,56,64 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 32,74,56,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,74,56,64) = 2

common factors(in case of two or more numbers have common factors) = 256

GCF(32,74,56,64) x common factors =2 x 256 = 512

LCM(32,74,56,64) = ( 32 × 74 × 56 × 64 ) / 512

LCM(32,74,56,64) = 8486912 / 512

LCM(32,74,56,64) = 16576


Lets's calculate GCF of 14,51,73,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16576/1

Therefore the LCM of Fractions 32/14,74/51,56/73,64/972 is 16576

Greatest Common Factor of 14,51,73,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,51,73,972 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 14,51,73,972 . The biggest common factor number is the GCF number.
So the greatest common factor 14,51,73,972 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 32/14, 74/51, 56/73, 64/972

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 32/14, 74/51, 56/73, 64/972?

Answer: LCM of Numerators as per given numbers 32/14, 74/51, 56/73, 64/972 is

LCM of Numerators i.e. for 32,74,56,64 is 16576

GCF of denominators i.e. for 14,51,73,972 is 1.

Thus, LCM of Fractions is 16576.Finally, LCM of Fractions for 32/14, 74/51, 56/73, 64/972 is 16576.