Least Common Multiple of 37/502, 71/961, 714/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/502, 71/961, 714/704 quickly i.e. 1875678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/502, 71/961, 714/704 is 1875678.

LCM(37/502, 71/961, 714/704) = 1875678

LCM of 37/502, 71/961, 714/704

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 37/502,71/961,714/704

Given numbers are 37/502,71/961,714/704

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 37,71,714

Least Common Multiple of Numerators i.e. LCM of 37,71,714 is 1875678.

GCF of Denominators means GCF of 502,961,704 as per the given fractions.

GCF of 502,961,704 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,71,714

LCM of Fractions 37/502,71/961,714/704 is 1875678

Given numbers has no common factors except 1. So, there LCM is their product i.e 1875678

Least Common Multiple of 37,71,714 with GCF Formula

Least Common Multiple of 37,71,714 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 37,71,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,71,714) = 1

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

GCF(37,71,714) x common factors =1 x 1 = 1

LCM(37,71,714) = ( 37 × 71 × 714 ) / 1

LCM(37,71,714) = 1875678 / 1

LCM(37,71,714) = 1875678


Lets's calculate GCF of 502,961,704

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1875678/1

Therefore the LCM of Fractions 37/502,71/961,714/704 is 1875678

Greatest Common Factor of 502,961,704 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,961,704 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 502,961,704 . The biggest common factor number is the GCF number.
So the greatest common factor 502,961,704 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 37/502, 71/961, 714/704

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 37/502, 71/961, 714/704?

Answer: LCM of Numerators as per given numbers 37/502, 71/961, 714/704 is

LCM of Numerators i.e. for 37,71,714 is 1875678

GCF of denominators i.e. for 502,961,704 is 1.

Thus, LCM of Fractions is 1875678.Finally, LCM of Fractions for 37/502, 71/961, 714/704 is 1875678.