Least Common Multiple of 31/42, 954/97, 496/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/42, 954/97, 496/945 quickly i.e. 236592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/42, 954/97, 496/945 is 236592.

LCM(31/42, 954/97, 496/945) = 236592

LCM of 31/42, 954/97, 496/945

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 31/42,954/97,496/945

Given numbers are 31/42,954/97,496/945

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 31,954,496

Least Common Multiple of Numerators i.e. LCM of 31,954,496 is 236592.

GCF of Denominators means GCF of 42,97,945 as per the given fractions.

GCF of 42,97,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,954,496

LCM of Fractions 31/42,954/97,496/945 is 236592

2 31, 954, 496
31 31, 477, 248
1, 477, 8

∴ So the LCM of the given numbers is 2 x 31 x 1 x 477 x 8 = 236592

Least Common Multiple of 31,954,496 with GCF Formula

Least Common Multiple of 31,954,496 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 31,954,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,954,496) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(31,954,496) x common factors =1 x 62 = 62

LCM(31,954,496) = ( 31 × 954 × 496 ) / 62

LCM(31,954,496) = 14668704 / 62

LCM(31,954,496) = 236592


Lets's calculate GCF of 42,97,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236592/1

Therefore the LCM of Fractions 31/42,954/97,496/945 is 236592

Greatest Common Factor of 42,97,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,97,945 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 42,97,945 . The biggest common factor number is the GCF number.
So the greatest common factor 42,97,945 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 31/42, 954/97, 496/945

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 31/42, 954/97, 496/945?

Answer: LCM of Numerators as per given numbers 31/42, 954/97, 496/945 is

LCM of Numerators i.e. for 31,954,496 is 236592

GCF of denominators i.e. for 42,97,945 is 1.

Thus, LCM of Fractions is 236592.Finally, LCM of Fractions for 31/42, 954/97, 496/945 is 236592.