Least Common Multiple of 612/99, 398/78, 641/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 612/99, 398/78, 641/740 quickly i.e. 78066108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/99, 398/78, 641/740 is 78066108.

LCM(612/99, 398/78, 641/740) = 78066108

LCM of 612/99, 398/78, 641/740

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 612/99,398/78,641/740

Given numbers are 612/99,398/78,641/740

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 612,398,641

Least Common Multiple of Numerators i.e. LCM of 612,398,641 is 78066108.

GCF of Denominators means GCF of 99,78,740 as per the given fractions.

GCF of 99,78,740 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,398,641

LCM of Fractions 612/99,398/78,641/740 is 78066108

2 612, 398, 641
306, 199, 641

∴ So the LCM of the given numbers is 2 x 306 x 199 x 641 = 78066108

Least Common Multiple of 612,398,641 with GCF Formula

Least Common Multiple of 612,398,641 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 612,398,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,398,641) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(612,398,641) x common factors =1 x 2 = 2

LCM(612,398,641) = ( 612 × 398 × 641 ) / 2

LCM(612,398,641) = 156132216 / 2

LCM(612,398,641) = 78066108


Lets's calculate GCF of 99,78,740

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78066108/1

Therefore the LCM of Fractions 612/99,398/78,641/740 is 78066108

Greatest Common Factor of 99,78,740 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,78,740 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors 99,78,740 . The biggest common factor number is the GCF number.
So the greatest common factor 99,78,740 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 612/99, 398/78, 641/740

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 612/99, 398/78, 641/740?

Answer: LCM of Numerators as per given numbers 612/99, 398/78, 641/740 is

LCM of Numerators i.e. for 612,398,641 is 78066108

GCF of denominators i.e. for 99,78,740 is 1.

Thus, LCM of Fractions is 78066108.Finally, LCM of Fractions for 612/99, 398/78, 641/740 is 78066108.