Least Common Multiple of 167/42, 749/75, 938/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 167/42, 749/75, 938/620 quickly i.e. 16761122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 167/42, 749/75, 938/620 is 16761122.

LCM(167/42, 749/75, 938/620) = 16761122

LCM of 167/42, 749/75, 938/620

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 167/42,749/75,938/620

Given numbers are 167/42,749/75,938/620

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 167,749,938

Least Common Multiple of Numerators i.e. LCM of 167,749,938 is 16761122.

GCF of Denominators means GCF of 42,75,620 as per the given fractions.

GCF of 42,75,620 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 167,749,938

LCM of Fractions 167/42,749/75,938/620 is 16761122

7 167, 749, 938
167, 107, 134

∴ So the LCM of the given numbers is 7 x 167 x 107 x 134 = 16761122

Least Common Multiple of 167,749,938 with GCF Formula

Least Common Multiple of 167,749,938 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 167,749,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,749,938) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(167,749,938) x common factors =1 x 7 = 7

LCM(167,749,938) = ( 167 × 749 × 938 ) / 7

LCM(167,749,938) = 117327854 / 7

LCM(167,749,938) = 16761122


Lets's calculate GCF of 42,75,620

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16761122/1

Therefore the LCM of Fractions 167/42,749/75,938/620 is 16761122

Greatest Common Factor of 42,75,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,75,620 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 42,75,620 . The biggest common factor number is the GCF number.
So the greatest common factor 42,75,620 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 167/42, 749/75, 938/620

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 167/42, 749/75, 938/620?

Answer: LCM of Numerators as per given numbers 167/42, 749/75, 938/620 is

LCM of Numerators i.e. for 167,749,938 is 16761122

GCF of denominators i.e. for 42,75,620 is 1.

Thus, LCM of Fractions is 16761122.Finally, LCM of Fractions for 167/42, 749/75, 938/620 is 16761122.