Least Common Multiple of 8118/907, 8006/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8118/907, 8006/296 quickly i.e. 32496354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8118/907, 8006/296 is 32496354.

LCM(8118/907, 8006/296) = 32496354

LCM of 8118/907, 8006/296

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 8118/907,8006/296

Given numbers are 8118/907,8006/296

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 8118,8006

Least Common Multiple of Numerators i.e. LCM of 8118,8006 is 32496354.

GCF of Denominators means GCF of 907,296 as per the given fractions.

GCF of 907,296 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8118,8006

LCM of Fractions 8118/907,8006/296 is 32496354

2 8118, 8006
4059, 4003

∴ So the LCM of the given numbers is 2 x 4059 x 4003 = 32496354

Least Common Multiple of 8118,8006 with GCF Formula

Least Common Multiple of 8118,8006 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 8118,8006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8118,8006) = 2

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

GCF(8118,8006) x common factors =2 x 1 = 2

LCM(8118,8006) = ( 8118 × 8006 ) / 2

LCM(8118,8006) = 64992708 / 2

LCM(8118,8006) = 32496354


Lets's calculate GCF of 907,296

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32496354/1

Therefore the LCM of Fractions 8118/907,8006/296 is 32496354

Greatest Common Factor of 907,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,296 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 907,296 . The biggest common factor number is the GCF number.
So the greatest common factor 907,296 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8118/907, 8006/296

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 8118/907, 8006/296?

Answer: LCM of Numerators as per given numbers 8118/907, 8006/296 is

LCM of Numerators i.e. for 8118,8006 is 32496354

GCF of denominators i.e. for 907,296 is 1.

Thus, LCM of Fractions is 32496354.Finally, LCM of Fractions for 8118/907, 8006/296 is 32496354.