Least Common Multiple of 31/530, 52/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/530, 52/700 quickly i.e. 1612/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/530, 52/700 is 1612/10.

LCM(31/530, 52/700) = 1612/10

LCM of 31/530, 52/700

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 31/530,52/700

Given numbers are 31/530,52/700

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 31,52

Least Common Multiple of Numerators i.e. LCM of 31,52 is 1612.

GCF of Denominators means GCF of 530,700 as per the given fractions.

GCF of 530,700 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,52

LCM of Fractions 31/530,52/700 is 1612/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 1612

Least Common Multiple of 31,52 with GCF Formula

Least Common Multiple of 31,52 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 31,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,52) = 1

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

GCF(31,52) x common factors =1 x 1 = 1

LCM(31,52) = ( 31 × 52 ) / 1

LCM(31,52) = 1612 / 1

LCM(31,52) = 1612


Lets's calculate GCF of 530,700

2 530, 700
5 265, 350
53, 70

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1612/10

Therefore the LCM of Fractions 31/530,52/700 is 1612/10

Greatest Common Factor of 530,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,700 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 530,700 . The biggest common factor number is the GCF number.
So the greatest common factor 530,700 is 10.


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 31/530, 52/700

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 31/530, 52/700?

Answer: LCM of Numerators as per given numbers 31/530, 52/700 is

LCM of Numerators i.e. for 31,52 is 1612

GCF of denominators i.e. for 530,700 is 10.

Thus, LCM of Fractions is 1612/10.Finally, LCM of Fractions for 31/530, 52/700 is 1612/10.