Least Common Multiple of 422/762, 939/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 422/762, 939/946 quickly i.e. 198129 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/762, 939/946 is 198129.

LCM(422/762, 939/946) = 198129

LCM of 422/762, 939/946

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 422/762,939/946

Given numbers are 422/762,939/946

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 422,939

Least Common Multiple of Numerators i.e. LCM of 422,939 is 396258.

GCF of Denominators means GCF of 762,946 as per the given fractions.

GCF of 762,946 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,939

LCM of Fractions 422/762,939/946 is 198129

Given numbers has no common factors except 1. So, there LCM is their product i.e 396258

Least Common Multiple of 422,939 with GCF Formula

Least Common Multiple of 422,939 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 422,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,939) = 1

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

GCF(422,939) x common factors =1 x 1 = 1

LCM(422,939) = ( 422 × 939 ) / 1

LCM(422,939) = 396258 / 1

LCM(422,939) = 396258


Lets's calculate GCF of 762,946

2 762, 946
381, 473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396258/2

Therefore the LCM of Fractions 422/762,939/946 is 198129

Greatest Common Factor of 762,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,946 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 762,946 . The biggest common factor number is the GCF number.
So the greatest common factor 762,946 is 2.


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Frequently Asked Questions on Fractional LCM of 422/762, 939/946

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 422/762, 939/946?

Answer: LCM of Numerators as per given numbers 422/762, 939/946 is

LCM of Numerators i.e. for 422,939 is 396258

GCF of denominators i.e. for 762,946 is 2.

Thus, LCM of Fractions is 198129.Finally, LCM of Fractions for 422/762, 939/946 is 198129.