Least Common Multiple of 77/338, 938/772, 478/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/338, 938/772, 478/312 quickly i.e. 1233001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/338, 938/772, 478/312 is 1233001.

LCM(77/338, 938/772, 478/312) = 1233001

LCM of 77/338, 938/772, 478/312

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 77/338,938/772,478/312

Given numbers are 77/338,938/772,478/312

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 77,938,478

Least Common Multiple of Numerators i.e. LCM of 77,938,478 is 2466002.

GCF of Denominators means GCF of 338,772,312 as per the given fractions.

GCF of 338,772,312 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,938,478

LCM of Fractions 77/338,938/772,478/312 is 1233001

2 77, 938, 478
7 77, 469, 239
11, 67, 239

∴ So the LCM of the given numbers is 2 x 7 x 11 x 67 x 239 = 2466002

Least Common Multiple of 77,938,478 with GCF Formula

Least Common Multiple of 77,938,478 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 77,938,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,938,478) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,938,478) x common factors =1 x 14 = 14

LCM(77,938,478) = ( 77 × 938 × 478 ) / 14

LCM(77,938,478) = 34524028 / 14

LCM(77,938,478) = 2466002


Lets's calculate GCF of 338,772,312

2 338, 772, 312
169, 386, 156

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2466002/2

Therefore the LCM of Fractions 77/338,938/772,478/312 is 1233001

Greatest Common Factor of 338,772,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,772,312 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 338,772,312 . The biggest common factor number is the GCF number.
So the greatest common factor 338,772,312 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 77/338, 938/772, 478/312

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 77/338, 938/772, 478/312?

Answer: LCM of Numerators as per given numbers 77/338, 938/772, 478/312 is

LCM of Numerators i.e. for 77,938,478 is 2466002

GCF of denominators i.e. for 338,772,312 is 2.

Thus, LCM of Fractions is 1233001.Finally, LCM of Fractions for 77/338, 938/772, 478/312 is 1233001.