Least Common Multiple of 48/953, 36/836, 558/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 48/953, 36/836, 558/369 quickly i.e. 4464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/953, 36/836, 558/369 is 4464.

LCM(48/953, 36/836, 558/369) = 4464

LCM of 48/953, 36/836, 558/369

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 48/953,36/836,558/369

Given numbers are 48/953,36/836,558/369

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 48,36,558

Least Common Multiple of Numerators i.e. LCM of 48,36,558 is 4464.

GCF of Denominators means GCF of 953,836,369 as per the given fractions.

GCF of 953,836,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,36,558

LCM of Fractions 48/953,36/836,558/369 is 4464

2 48, 36, 558
2 24, 18, 279
3 12, 9, 279
3 4, 3, 93
4, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 4 x 1 x 31 = 4464

Least Common Multiple of 48,36,558 with GCF Formula

Least Common Multiple of 48,36,558 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 48,36,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,36,558) = 6

common factors(in case of two or more numbers have common factors) = 36

GCF(48,36,558) x common factors =6 x 36 = 216

LCM(48,36,558) = ( 48 × 36 × 558 ) / 216

LCM(48,36,558) = 964224 / 216

LCM(48,36,558) = 4464


Lets's calculate GCF of 953,836,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4464/1

Therefore the LCM of Fractions 48/953,36/836,558/369 is 4464

Greatest Common Factor of 953,836,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 953,836,369 By Matching Biggest Common Factor Method

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 953,836,369 . The biggest common factor number is the GCF number.
So the greatest common factor 953,836,369 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 48/953, 36/836, 558/369

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 48/953, 36/836, 558/369?

Answer: LCM of Numerators as per given numbers 48/953, 36/836, 558/369 is

LCM of Numerators i.e. for 48,36,558 is 4464

GCF of denominators i.e. for 953,836,369 is 1.

Thus, LCM of Fractions is 4464.Finally, LCM of Fractions for 48/953, 36/836, 558/369 is 4464.