Least Common Multiple of 31/948, 37/628, 396/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/948, 37/628, 396/504 quickly i.e. 113553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/948, 37/628, 396/504 is 113553.

LCM(31/948, 37/628, 396/504) = 113553

LCM of 31/948, 37/628, 396/504

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 31/948,37/628,396/504

Given numbers are 31/948,37/628,396/504

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 31,37,396

Least Common Multiple of Numerators i.e. LCM of 31,37,396 is 454212.

GCF of Denominators means GCF of 948,628,504 as per the given fractions.

GCF of 948,628,504 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,37,396

LCM of Fractions 31/948,37/628,396/504 is 113553

Given numbers has no common factors except 1. So, there LCM is their product i.e 454212

Least Common Multiple of 31,37,396 with GCF Formula

Least Common Multiple of 31,37,396 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 31,37,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,37,396) = 1

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

GCF(31,37,396) x common factors =1 x 1 = 1

LCM(31,37,396) = ( 31 × 37 × 396 ) / 1

LCM(31,37,396) = 454212 / 1

LCM(31,37,396) = 454212


Lets's calculate GCF of 948,628,504

2 948, 628, 504
2 474, 314, 252
237, 157, 126

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 454212/4

Therefore the LCM of Fractions 31/948,37/628,396/504 is 113553

Greatest Common Factor of 948,628,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,628,504 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 948,628,504 . The biggest common factor number is the GCF number.
So the greatest common factor 948,628,504 is 4.


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 31/948, 37/628, 396/504

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 31/948, 37/628, 396/504?

Answer: LCM of Numerators as per given numbers 31/948, 37/628, 396/504 is

LCM of Numerators i.e. for 31,37,396 is 454212

GCF of denominators i.e. for 948,628,504 is 4.

Thus, LCM of Fractions is 113553.Finally, LCM of Fractions for 31/948, 37/628, 396/504 is 113553.