Least Common Multiple of 632/819, 472/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 632/819, 472/948 quickly i.e. 37288/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 632/819, 472/948 is 37288/3.

LCM(632/819, 472/948) = 37288/3

LCM of 632/819, 472/948

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 632/819,472/948

Given numbers are 632/819,472/948

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 632,472

Least Common Multiple of Numerators i.e. LCM of 632,472 is 37288.

GCF of Denominators means GCF of 819,948 as per the given fractions.

GCF of 819,948 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 632,472

LCM of Fractions 632/819,472/948 is 37288/3

2 632, 472
2 316, 236
2 158, 118
79, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 79 x 59 = 37288

Least Common Multiple of 632,472 with GCF Formula

Least Common Multiple of 632,472 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 632,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,472) = 8

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

GCF(632,472) x common factors =8 x 1 = 8

LCM(632,472) = ( 632 × 472 ) / 8

LCM(632,472) = 298304 / 8

LCM(632,472) = 37288


Lets's calculate GCF of 819,948

3 819, 948
273, 316

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37288/3

Therefore the LCM of Fractions 632/819,472/948 is 37288/3

Greatest Common Factor of 819,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,948 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

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

Greatest Common Factor

We found the factors 819,948 . The biggest common factor number is the GCF number.
So the greatest common factor 819,948 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 632/819, 472/948

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 632/819, 472/948?

Answer: LCM of Numerators as per given numbers 632/819, 472/948 is

LCM of Numerators i.e. for 632,472 is 37288

GCF of denominators i.e. for 819,948 is 3.

Thus, LCM of Fractions is 37288/3.Finally, LCM of Fractions for 632/819, 472/948 is 37288/3.