Least Common Multiple of 3567/124, 4467/7332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3567/124, 4467/7332 quickly i.e. 5311263/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3567/124, 4467/7332 is 5311263/4.

LCM(3567/124, 4467/7332) = 5311263/4

LCM of 3567/124, 4467/7332

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 3567/124,4467/7332

Given numbers are 3567/124,4467/7332

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 3567,4467

Least Common Multiple of Numerators i.e. LCM of 3567,4467 is 5311263.

GCF of Denominators means GCF of 124,7332 as per the given fractions.

GCF of 124,7332 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3567,4467

LCM of Fractions 3567/124,4467/7332 is 5311263/4

3 3567, 4467
1189, 1489

∴ So the LCM of the given numbers is 3 x 1189 x 1489 = 5311263

Least Common Multiple of 3567,4467 with GCF Formula

Least Common Multiple of 3567,4467 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 3567,4467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3567,4467) = 3

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

GCF(3567,4467) x common factors =3 x 1 = 3

LCM(3567,4467) = ( 3567 × 4467 ) / 3

LCM(3567,4467) = 15933789 / 3

LCM(3567,4467) = 5311263


Lets's calculate GCF of 124,7332

2 124, 7332
2 62, 3666
31, 1833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5311263/4

Therefore the LCM of Fractions 3567/124,4467/7332 is 5311263/4

Greatest Common Factor of 124,7332 By Matching Biggest Common Factor Method

Greatest Common Factor of 124,7332 By Matching Biggest Common Factor Method

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Greatest Common Factor

We found the factors 124,7332 . The biggest common factor number is the GCF number.
So the greatest common factor 124,7332 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3567/124, 4467/7332

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 3567/124, 4467/7332?

Answer: LCM of Numerators as per given numbers 3567/124, 4467/7332 is

LCM of Numerators i.e. for 3567,4467 is 5311263

GCF of denominators i.e. for 124,7332 is 4.

Thus, LCM of Fractions is 5311263/4.Finally, LCM of Fractions for 3567/124, 4467/7332 is 5311263/4.