Least Common Multiple of 37/934, 1678/2542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/934, 1678/2542 quickly i.e. 31043 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/934, 1678/2542 is 31043.

LCM(37/934, 1678/2542) = 31043

LCM of 37/934, 1678/2542

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 37/934,1678/2542

Given numbers are 37/934,1678/2542

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 37,1678

Least Common Multiple of Numerators i.e. LCM of 37,1678 is 62086.

GCF of Denominators means GCF of 934,2542 as per the given fractions.

GCF of 934,2542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,1678

LCM of Fractions 37/934,1678/2542 is 31043

Given numbers has no common factors except 1. So, there LCM is their product i.e 62086

Least Common Multiple of 37,1678 with GCF Formula

Least Common Multiple of 37,1678 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 37,1678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,1678) = 1

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

GCF(37,1678) x common factors =1 x 1 = 1

LCM(37,1678) = ( 37 × 1678 ) / 1

LCM(37,1678) = 62086 / 1

LCM(37,1678) = 62086


Lets's calculate GCF of 934,2542

2 934, 2542
467, 1271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62086/2

Therefore the LCM of Fractions 37/934,1678/2542 is 31043

Greatest Common Factor of 934,2542 By Matching Biggest Common Factor Method

Greatest Common Factor of 934,2542 By Matching Biggest Common Factor Method

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Factors of 2542

List of positive integer factors of 2542 that divides 2542 without a remainder.

1,2,31,41,62,82,1271,2542

Greatest Common Factor

We found the factors 934,2542 . The biggest common factor number is the GCF number.
So the greatest common factor 934,2542 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 37/934, 1678/2542

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 37/934, 1678/2542?

Answer: LCM of Numerators as per given numbers 37/934, 1678/2542 is

LCM of Numerators i.e. for 37,1678 is 62086

GCF of denominators i.e. for 934,2542 is 2.

Thus, LCM of Fractions is 31043.Finally, LCM of Fractions for 37/934, 1678/2542 is 31043.