Least Common Multiple of 371/37, 199/59, 508/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 371/37, 199/59, 508/564 quickly i.e. 37505132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 371/37, 199/59, 508/564 is 37505132.

LCM(371/37, 199/59, 508/564) = 37505132

LCM of 371/37, 199/59, 508/564

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 371/37,199/59,508/564

Given numbers are 371/37,199/59,508/564

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 371,199,508

Least Common Multiple of Numerators i.e. LCM of 371,199,508 is 37505132.

GCF of Denominators means GCF of 37,59,564 as per the given fractions.

GCF of 37,59,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 371,199,508

LCM of Fractions 371/37,199/59,508/564 is 37505132

Given numbers has no common factors except 1. So, there LCM is their product i.e 37505132

Least Common Multiple of 371,199,508 with GCF Formula

Least Common Multiple of 371,199,508 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 371,199,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,199,508) = 1

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

GCF(371,199,508) x common factors =1 x 1 = 1

LCM(371,199,508) = ( 371 × 199 × 508 ) / 1

LCM(371,199,508) = 37505132 / 1

LCM(371,199,508) = 37505132


Lets's calculate GCF of 37,59,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37505132/1

Therefore the LCM of Fractions 371/37,199/59,508/564 is 37505132

Greatest Common Factor of 37,59,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,59,564 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 37,59,564 . The biggest common factor number is the GCF number.
So the greatest common factor 37,59,564 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 371/37, 199/59, 508/564

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 371/37, 199/59, 508/564?

Answer: LCM of Numerators as per given numbers 371/37, 199/59, 508/564 is

LCM of Numerators i.e. for 371,199,508 is 37505132

GCF of denominators i.e. for 37,59,564 is 1.

Thus, LCM of Fractions is 37505132.Finally, LCM of Fractions for 371/37, 199/59, 508/564 is 37505132.