Least Common Multiple of 77/84, 338/26, 638/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/84, 338/26, 638/390 quickly i.e. 377377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/84, 338/26, 638/390 is 377377.

LCM(77/84, 338/26, 638/390) = 377377

LCM of 77/84, 338/26, 638/390

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 77/84,338/26,638/390

Given numbers are 77/84,338/26,638/390

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 77,338,638

Least Common Multiple of Numerators i.e. LCM of 77,338,638 is 754754.

GCF of Denominators means GCF of 84,26,390 as per the given fractions.

GCF of 84,26,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,338,638

LCM of Fractions 77/84,338/26,638/390 is 377377

2 77, 338, 638
11 77, 169, 319
7, 169, 29

∴ So the LCM of the given numbers is 2 x 11 x 7 x 169 x 29 = 754754

Least Common Multiple of 77,338,638 with GCF Formula

Least Common Multiple of 77,338,638 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 77,338,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,338,638) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(77,338,638) x common factors =1 x 22 = 22

LCM(77,338,638) = ( 77 × 338 × 638 ) / 22

LCM(77,338,638) = 16604588 / 22

LCM(77,338,638) = 754754


Lets's calculate GCF of 84,26,390

2 84, 26, 390
42, 13, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 754754/2

Therefore the LCM of Fractions 77/84,338/26,638/390 is 377377

Greatest Common Factor of 84,26,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,26,390 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 84,26,390 . The biggest common factor number is the GCF number.
So the greatest common factor 84,26,390 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 77/84, 338/26, 638/390

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 77/84, 338/26, 638/390?

Answer: LCM of Numerators as per given numbers 77/84, 338/26, 638/390 is

LCM of Numerators i.e. for 77,338,638 is 754754

GCF of denominators i.e. for 84,26,390 is 2.

Thus, LCM of Fractions is 377377.Finally, LCM of Fractions for 77/84, 338/26, 638/390 is 377377.