Least Common Multiple of 72/650, 7814/6079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/650, 7814/6079 quickly i.e. 281304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/650, 7814/6079 is 281304.

LCM(72/650, 7814/6079) = 281304

LCM of 72/650, 7814/6079

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 72/650,7814/6079

Given numbers are 72/650,7814/6079

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 72,7814

Least Common Multiple of Numerators i.e. LCM of 72,7814 is 281304.

GCF of Denominators means GCF of 650,6079 as per the given fractions.

GCF of 650,6079 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,7814

LCM of Fractions 72/650,7814/6079 is 281304

2 72, 7814
36, 3907

∴ So the LCM of the given numbers is 2 x 36 x 3907 = 281304

Least Common Multiple of 72,7814 with GCF Formula

Least Common Multiple of 72,7814 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 72,7814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,7814) = 2

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

GCF(72,7814) x common factors =2 x 1 = 2

LCM(72,7814) = ( 72 × 7814 ) / 2

LCM(72,7814) = 562608 / 2

LCM(72,7814) = 281304


Lets's calculate GCF of 650,6079

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 281304/1

Therefore the LCM of Fractions 72/650,7814/6079 is 281304

Greatest Common Factor of 650,6079 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,6079 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 6079

List of positive integer factors of 6079 that divides 6079 without a remainder.

1,6079

Greatest Common Factor

We found the factors 650,6079 . The biggest common factor number is the GCF number.
So the greatest common factor 650,6079 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/650, 7814/6079

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 72/650, 7814/6079?

Answer: LCM of Numerators as per given numbers 72/650, 7814/6079 is

LCM of Numerators i.e. for 72,7814 is 281304

GCF of denominators i.e. for 650,6079 is 1.

Thus, LCM of Fractions is 281304.Finally, LCM of Fractions for 72/650, 7814/6079 is 281304.