Least Common Multiple of 572/31, 496/1222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/31, 496/1222 quickly i.e. 70928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/31, 496/1222 is 70928.

LCM(572/31, 496/1222) = 70928

LCM of 572/31, 496/1222

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 572/31,496/1222

Given numbers are 572/31,496/1222

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 572,496

Least Common Multiple of Numerators i.e. LCM of 572,496 is 70928.

GCF of Denominators means GCF of 31,1222 as per the given fractions.

GCF of 31,1222 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,496

LCM of Fractions 572/31,496/1222 is 70928

2 572, 496
2 286, 248
143, 124

∴ So the LCM of the given numbers is 2 x 2 x 143 x 124 = 70928

Least Common Multiple of 572,496 with GCF Formula

Least Common Multiple of 572,496 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 572,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,496) = 4

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

GCF(572,496) x common factors =4 x 1 = 4

LCM(572,496) = ( 572 × 496 ) / 4

LCM(572,496) = 283712 / 4

LCM(572,496) = 70928


Lets's calculate GCF of 31,1222

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70928/1

Therefore the LCM of Fractions 572/31,496/1222 is 70928

Greatest Common Factor of 31,1222 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,1222 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 1222

List of positive integer factors of 1222 that divides 1222 without a remainder.

1,2,13,26,47,94,611,1222

Greatest Common Factor

We found the factors 31,1222 . The biggest common factor number is the GCF number.
So the greatest common factor 31,1222 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 572/31, 496/1222

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 572/31, 496/1222?

Answer: LCM of Numerators as per given numbers 572/31, 496/1222 is

LCM of Numerators i.e. for 572,496 is 70928

GCF of denominators i.e. for 31,1222 is 1.

Thus, LCM of Fractions is 70928.Finally, LCM of Fractions for 572/31, 496/1222 is 70928.