Least Common Multiple of 99/869, 552/207, 724/639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/869, 552/207, 724/639 quickly i.e. 3297096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/869, 552/207, 724/639 is 3297096.

LCM(99/869, 552/207, 724/639) = 3297096

LCM of 99/869, 552/207, 724/639

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 99/869,552/207,724/639

Given numbers are 99/869,552/207,724/639

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 99,552,724

Least Common Multiple of Numerators i.e. LCM of 99,552,724 is 3297096.

GCF of Denominators means GCF of 869,207,639 as per the given fractions.

GCF of 869,207,639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,552,724

LCM of Fractions 99/869,552/207,724/639 is 3297096

2 99, 552, 724
2 99, 276, 362
3 99, 138, 181
33, 46, 181

∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 46 x 181 = 3297096

Least Common Multiple of 99,552,724 with GCF Formula

Least Common Multiple of 99,552,724 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 99,552,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,552,724) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(99,552,724) x common factors =1 x 12 = 12

LCM(99,552,724) = ( 99 × 552 × 724 ) / 12

LCM(99,552,724) = 39565152 / 12

LCM(99,552,724) = 3297096


Lets's calculate GCF of 869,207,639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3297096/1

Therefore the LCM of Fractions 99/869,552/207,724/639 is 3297096

Greatest Common Factor of 869,207,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 869,207,639 By Matching Biggest Common Factor Method

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 207

List of positive integer factors of 207 that divides 207 without a remainder.

1,3,9,23,69,207

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 869,207,639 . The biggest common factor number is the GCF number.
So the greatest common factor 869,207,639 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/869, 552/207, 724/639

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 99/869, 552/207, 724/639?

Answer: LCM of Numerators as per given numbers 99/869, 552/207, 724/639 is

LCM of Numerators i.e. for 99,552,724 is 3297096

GCF of denominators i.e. for 869,207,639 is 1.

Thus, LCM of Fractions is 3297096.Finally, LCM of Fractions for 99/869, 552/207, 724/639 is 3297096.