Least Common Multiple of 552/99, 679/63, 195/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 552/99, 679/63, 195/12 quickly i.e. 8120840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 552/99, 679/63, 195/12 is 8120840.

LCM(552/99, 679/63, 195/12) = 8120840

LCM of 552/99, 679/63, 195/12

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 552/99,679/63,195/12

Given numbers are 552/99,679/63,195/12

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 552,679,195

Least Common Multiple of Numerators i.e. LCM of 552,679,195 is 24362520.

GCF of Denominators means GCF of 99,63,12 as per the given fractions.

GCF of 99,63,12 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 552,679,195

LCM of Fractions 552/99,679/63,195/12 is 8120840

3 552, 679, 195
184, 679, 65

∴ So the LCM of the given numbers is 3 x 184 x 679 x 65 = 24362520

Least Common Multiple of 552,679,195 with GCF Formula

Least Common Multiple of 552,679,195 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 552,679,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(552,679,195) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(552,679,195) x common factors =1 x 3 = 3

LCM(552,679,195) = ( 552 × 679 × 195 ) / 3

LCM(552,679,195) = 73087560 / 3

LCM(552,679,195) = 24362520


Lets's calculate GCF of 99,63,12

3 99, 63, 12
33, 21, 4

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24362520/3

Therefore the LCM of Fractions 552/99,679/63,195/12 is 8120840

Greatest Common Factor of 99,63,12 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,63,12 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Greatest Common Factor

We found the factors 99,63,12 . The biggest common factor number is the GCF number.
So the greatest common factor 99,63,12 is 3.


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Frequently Asked Questions on Fractional LCM of 552/99, 679/63, 195/12

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 552/99, 679/63, 195/12?

Answer: LCM of Numerators as per given numbers 552/99, 679/63, 195/12 is

LCM of Numerators i.e. for 552,679,195 is 24362520

GCF of denominators i.e. for 99,63,12 is 3.

Thus, LCM of Fractions is 8120840.Finally, LCM of Fractions for 552/99, 679/63, 195/12 is 8120840.