Least Common Multiple of 31/536, 722/474, 183/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/536, 722/474, 183/578 quickly i.e. 2047953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/536, 722/474, 183/578 is 2047953.

LCM(31/536, 722/474, 183/578) = 2047953

LCM of 31/536, 722/474, 183/578

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 31/536,722/474,183/578

Given numbers are 31/536,722/474,183/578

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 31,722,183

Least Common Multiple of Numerators i.e. LCM of 31,722,183 is 4095906.

GCF of Denominators means GCF of 536,474,578 as per the given fractions.

GCF of 536,474,578 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,722,183

LCM of Fractions 31/536,722/474,183/578 is 2047953

Given numbers has no common factors except 1. So, there LCM is their product i.e 4095906

Least Common Multiple of 31,722,183 with GCF Formula

Least Common Multiple of 31,722,183 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 31,722,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,722,183) = 1

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

GCF(31,722,183) x common factors =1 x 1 = 1

LCM(31,722,183) = ( 31 × 722 × 183 ) / 1

LCM(31,722,183) = 4095906 / 1

LCM(31,722,183) = 4095906


Lets's calculate GCF of 536,474,578

2 536, 474, 578
268, 237, 289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4095906/2

Therefore the LCM of Fractions 31/536,722/474,183/578 is 2047953

Greatest Common Factor of 536,474,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,474,578 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 536,474,578 . The biggest common factor number is the GCF number.
So the greatest common factor 536,474,578 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 31/536, 722/474, 183/578

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 31/536, 722/474, 183/578?

Answer: LCM of Numerators as per given numbers 31/536, 722/474, 183/578 is

LCM of Numerators i.e. for 31,722,183 is 4095906

GCF of denominators i.e. for 536,474,578 is 2.

Thus, LCM of Fractions is 2047953.Finally, LCM of Fractions for 31/536, 722/474, 183/578 is 2047953.