Least Common Multiple of 5924/474, 5429/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5924/474, 5429/252 quickly i.e. 32161396/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5924/474, 5429/252 is 32161396/6.

LCM(5924/474, 5429/252) = 32161396/6

LCM of 5924/474, 5429/252

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 5924/474,5429/252

Given numbers are 5924/474,5429/252

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 5924,5429

Least Common Multiple of Numerators i.e. LCM of 5924,5429 is 32161396.

GCF of Denominators means GCF of 474,252 as per the given fractions.

GCF of 474,252 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5924,5429

LCM of Fractions 5924/474,5429/252 is 32161396/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 32161396

Least Common Multiple of 5924,5429 with GCF Formula

Least Common Multiple of 5924,5429 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 5924,5429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5924,5429) = 1

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

GCF(5924,5429) x common factors =1 x 1 = 1

LCM(5924,5429) = ( 5924 × 5429 ) / 1

LCM(5924,5429) = 32161396 / 1

LCM(5924,5429) = 32161396


Lets's calculate GCF of 474,252

2 474, 252
3 237, 126
79, 42

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32161396/6

Therefore the LCM of Fractions 5924/474,5429/252 is 32161396/6

Greatest Common Factor of 474,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,252 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 474,252 . The biggest common factor number is the GCF number.
So the greatest common factor 474,252 is 6.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 5924/474, 5429/252

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 5924/474, 5429/252?

Answer: LCM of Numerators as per given numbers 5924/474, 5429/252 is

LCM of Numerators i.e. for 5924,5429 is 32161396

GCF of denominators i.e. for 474,252 is 6.

Thus, LCM of Fractions is 32161396/6.Finally, LCM of Fractions for 5924/474, 5429/252 is 32161396/6.