Least Common Multiple of 38/972, 7648/5064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/972, 7648/5064 quickly i.e. 145312/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/972, 7648/5064 is 145312/12.

LCM(38/972, 7648/5064) = 145312/12

LCM of 38/972, 7648/5064

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 38/972,7648/5064

Given numbers are 38/972,7648/5064

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 38,7648

Least Common Multiple of Numerators i.e. LCM of 38,7648 is 145312.

GCF of Denominators means GCF of 972,5064 as per the given fractions.

GCF of 972,5064 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,7648

LCM of Fractions 38/972,7648/5064 is 145312/12

2 38, 7648
19, 3824

∴ So the LCM of the given numbers is 2 x 19 x 3824 = 145312

Least Common Multiple of 38,7648 with GCF Formula

Least Common Multiple of 38,7648 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 38,7648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,7648) = 2

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

GCF(38,7648) x common factors =2 x 1 = 2

LCM(38,7648) = ( 38 × 7648 ) / 2

LCM(38,7648) = 290624 / 2

LCM(38,7648) = 145312


Lets's calculate GCF of 972,5064

2 972, 5064
2 486, 2532
3 243, 1266
81, 422

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145312/12

Therefore the LCM of Fractions 38/972,7648/5064 is 145312/12

Greatest Common Factor of 972,5064 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,5064 By Matching Biggest Common Factor Method

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

Factors of 5064

List of positive integer factors of 5064 that divides 5064 without a remainder.

1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064

Greatest Common Factor

We found the factors 972,5064 . The biggest common factor number is the GCF number.
So the greatest common factor 972,5064 is 12.


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 38/972, 7648/5064

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 38/972, 7648/5064?

Answer: LCM of Numerators as per given numbers 38/972, 7648/5064 is

LCM of Numerators i.e. for 38,7648 is 145312

GCF of denominators i.e. for 972,5064 is 12.

Thus, LCM of Fractions is 145312/12.Finally, LCM of Fractions for 38/972, 7648/5064 is 145312/12.