Least Common Multiple of 767/375, 2106/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 767/375, 2106/379 quickly i.e. 124254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/375, 2106/379 is 124254.

LCM(767/375, 2106/379) = 124254

LCM of 767/375, 2106/379

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 767/375,2106/379

Given numbers are 767/375,2106/379

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 767,2106

Least Common Multiple of Numerators i.e. LCM of 767,2106 is 124254.

GCF of Denominators means GCF of 375,379 as per the given fractions.

GCF of 375,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,2106

LCM of Fractions 767/375,2106/379 is 124254

13 767, 2106
59, 162

∴ So the LCM of the given numbers is 13 x 59 x 162 = 124254

Least Common Multiple of 767,2106 with GCF Formula

Least Common Multiple of 767,2106 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 767,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,2106) = 13

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

GCF(767,2106) x common factors =13 x 1 = 13

LCM(767,2106) = ( 767 × 2106 ) / 13

LCM(767,2106) = 1615302 / 13

LCM(767,2106) = 124254


Lets's calculate GCF of 375,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124254/1

Therefore the LCM of Fractions 767/375,2106/379 is 124254

Greatest Common Factor of 375,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,379 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 375,379 . The biggest common factor number is the GCF number.
So the greatest common factor 375,379 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 767/375, 2106/379

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 767/375, 2106/379?

Answer: LCM of Numerators as per given numbers 767/375, 2106/379 is

LCM of Numerators i.e. for 767,2106 is 124254

GCF of denominators i.e. for 375,379 is 1.

Thus, LCM of Fractions is 124254.Finally, LCM of Fractions for 767/375, 2106/379 is 124254.