Least Common Multiple of 5939/158, 8671/1942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5939/158, 8671/1942 quickly i.e. 51497069/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5939/158, 8671/1942 is 51497069/2.

LCM(5939/158, 8671/1942) = 51497069/2

LCM of 5939/158, 8671/1942

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 5939/158,8671/1942

Given numbers are 5939/158,8671/1942

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 5939,8671

Least Common Multiple of Numerators i.e. LCM of 5939,8671 is 51497069.

GCF of Denominators means GCF of 158,1942 as per the given fractions.

GCF of 158,1942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5939,8671

LCM of Fractions 5939/158,8671/1942 is 51497069/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 51497069

Least Common Multiple of 5939,8671 with GCF Formula

Least Common Multiple of 5939,8671 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 5939,8671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5939,8671) = 1

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

GCF(5939,8671) x common factors =1 x 1 = 1

LCM(5939,8671) = ( 5939 × 8671 ) / 1

LCM(5939,8671) = 51497069 / 1

LCM(5939,8671) = 51497069


Lets's calculate GCF of 158,1942

2 158, 1942
79, 971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51497069/2

Therefore the LCM of Fractions 5939/158,8671/1942 is 51497069/2

Greatest Common Factor of 158,1942 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,1942 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 1942

List of positive integer factors of 1942 that divides 1942 without a remainder.

1,2,971,1942

Greatest Common Factor

We found the factors 158,1942 . The biggest common factor number is the GCF number.
So the greatest common factor 158,1942 is 2.


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Frequently Asked Questions on Fractional LCM of 5939/158, 8671/1942

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 5939/158, 8671/1942?

Answer: LCM of Numerators as per given numbers 5939/158, 8671/1942 is

LCM of Numerators i.e. for 5939,8671 is 51497069

GCF of denominators i.e. for 158,1942 is 2.

Thus, LCM of Fractions is 51497069/2.Finally, LCM of Fractions for 5939/158, 8671/1942 is 51497069/2.