Least Common Multiple of 31/405, 150/427, 919/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/405, 150/427, 919/972 quickly i.e. 4273350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/405, 150/427, 919/972 is 4273350.

LCM(31/405, 150/427, 919/972) = 4273350

LCM of 31/405, 150/427, 919/972

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 31/405,150/427,919/972

Given numbers are 31/405,150/427,919/972

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 31,150,919

Least Common Multiple of Numerators i.e. LCM of 31,150,919 is 4273350.

GCF of Denominators means GCF of 405,427,972 as per the given fractions.

GCF of 405,427,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,150,919

LCM of Fractions 31/405,150/427,919/972 is 4273350

Given numbers has no common factors except 1. So, there LCM is their product i.e 4273350

Least Common Multiple of 31,150,919 with GCF Formula

Least Common Multiple of 31,150,919 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 31,150,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,150,919) = 1

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

GCF(31,150,919) x common factors =1 x 1 = 1

LCM(31,150,919) = ( 31 × 150 × 919 ) / 1

LCM(31,150,919) = 4273350 / 1

LCM(31,150,919) = 4273350


Lets's calculate GCF of 405,427,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4273350/1

Therefore the LCM of Fractions 31/405,150/427,919/972 is 4273350

Greatest Common Factor of 405,427,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 405,427,972 By Matching Biggest Common Factor Method

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 405,427,972 . The biggest common factor number is the GCF number.
So the greatest common factor 405,427,972 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 31/405, 150/427, 919/972

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 31/405, 150/427, 919/972?

Answer: LCM of Numerators as per given numbers 31/405, 150/427, 919/972 is

LCM of Numerators i.e. for 31,150,919 is 4273350

GCF of denominators i.e. for 405,427,972 is 1.

Thus, LCM of Fractions is 4273350.Finally, LCM of Fractions for 31/405, 150/427, 919/972 is 4273350.