Least Common Multiple of 252/154, 6132/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 252/154, 6132/796 quickly i.e. 9198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/154, 6132/796 is 9198.

LCM(252/154, 6132/796) = 9198

LCM of 252/154, 6132/796

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 252/154,6132/796

Given numbers are 252/154,6132/796

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 252,6132

Least Common Multiple of Numerators i.e. LCM of 252,6132 is 18396.

GCF of Denominators means GCF of 154,796 as per the given fractions.

GCF of 154,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,6132

LCM of Fractions 252/154,6132/796 is 9198

2 252, 6132
2 126, 3066
3 63, 1533
7 21, 511
3, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 73 = 18396

Least Common Multiple of 252,6132 with GCF Formula

Least Common Multiple of 252,6132 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 252,6132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,6132) = 84

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

GCF(252,6132) x common factors =84 x 1 = 84

LCM(252,6132) = ( 252 × 6132 ) / 84

LCM(252,6132) = 1545264 / 84

LCM(252,6132) = 18396


Lets's calculate GCF of 154,796

2 154, 796
77, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18396/2

Therefore the LCM of Fractions 252/154,6132/796 is 9198

Greatest Common Factor of 154,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,796 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 154,796 . The biggest common factor number is the GCF number.
So the greatest common factor 154,796 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 252/154, 6132/796

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 252/154, 6132/796?

Answer: LCM of Numerators as per given numbers 252/154, 6132/796 is

LCM of Numerators i.e. for 252,6132 is 18396

GCF of denominators i.e. for 154,796 is 2.

Thus, LCM of Fractions is 9198.Finally, LCM of Fractions for 252/154, 6132/796 is 9198.