Least Common Multiple of 7636/79, 5414/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7636/79, 5414/665 quickly i.e. 20670652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7636/79, 5414/665 is 20670652.

LCM(7636/79, 5414/665) = 20670652

LCM of 7636/79, 5414/665

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 7636/79,5414/665

Given numbers are 7636/79,5414/665

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 7636,5414

Least Common Multiple of Numerators i.e. LCM of 7636,5414 is 20670652.

GCF of Denominators means GCF of 79,665 as per the given fractions.

GCF of 79,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7636,5414

LCM of Fractions 7636/79,5414/665 is 20670652

2 7636, 5414
3818, 2707

∴ So the LCM of the given numbers is 2 x 3818 x 2707 = 20670652

Least Common Multiple of 7636,5414 with GCF Formula

Least Common Multiple of 7636,5414 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 7636,5414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7636,5414) = 2

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

GCF(7636,5414) x common factors =2 x 1 = 2

LCM(7636,5414) = ( 7636 × 5414 ) / 2

LCM(7636,5414) = 41341304 / 2

LCM(7636,5414) = 20670652


Lets's calculate GCF of 79,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20670652/1

Therefore the LCM of Fractions 7636/79,5414/665 is 20670652

Greatest Common Factor of 79,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,665 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 79,665 . The biggest common factor number is the GCF number.
So the greatest common factor 79,665 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7636/79, 5414/665

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 7636/79, 5414/665?

Answer: LCM of Numerators as per given numbers 7636/79, 5414/665 is

LCM of Numerators i.e. for 7636,5414 is 20670652

GCF of denominators i.e. for 79,665 is 1.

Thus, LCM of Fractions is 20670652.Finally, LCM of Fractions for 7636/79, 5414/665 is 20670652.