Least Common Multiple of 31/502, 32/546, 699/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/502, 32/546, 699/910 quickly i.e. 346704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/502, 32/546, 699/910 is 346704.

LCM(31/502, 32/546, 699/910) = 346704

LCM of 31/502, 32/546, 699/910

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 31/502,32/546,699/910

Given numbers are 31/502,32/546,699/910

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 31,32,699

Least Common Multiple of Numerators i.e. LCM of 31,32,699 is 693408.

GCF of Denominators means GCF of 502,546,910 as per the given fractions.

GCF of 502,546,910 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,32,699

LCM of Fractions 31/502,32/546,699/910 is 346704

Given numbers has no common factors except 1. So, there LCM is their product i.e 693408

Least Common Multiple of 31,32,699 with GCF Formula

Least Common Multiple of 31,32,699 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 31,32,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,32,699) = 1

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

GCF(31,32,699) x common factors =1 x 1 = 1

LCM(31,32,699) = ( 31 × 32 × 699 ) / 1

LCM(31,32,699) = 693408 / 1

LCM(31,32,699) = 693408


Lets's calculate GCF of 502,546,910

2 502, 546, 910
251, 273, 455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 693408/2

Therefore the LCM of Fractions 31/502,32/546,699/910 is 346704

Greatest Common Factor of 502,546,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,546,910 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 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 502,546,910 . The biggest common factor number is the GCF number.
So the greatest common factor 502,546,910 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 31/502, 32/546, 699/910

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 31/502, 32/546, 699/910?

Answer: LCM of Numerators as per given numbers 31/502, 32/546, 699/910 is

LCM of Numerators i.e. for 31,32,699 is 693408

GCF of denominators i.e. for 502,546,910 is 2.

Thus, LCM of Fractions is 346704.Finally, LCM of Fractions for 31/502, 32/546, 699/910 is 346704.