Least Common Multiple of 78/372, 8907/8069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/372, 8907/8069 quickly i.e. 231582 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/372, 8907/8069 is 231582.

LCM(78/372, 8907/8069) = 231582

LCM of 78/372, 8907/8069

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 78/372,8907/8069

Given numbers are 78/372,8907/8069

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 78,8907

Least Common Multiple of Numerators i.e. LCM of 78,8907 is 231582.

GCF of Denominators means GCF of 372,8069 as per the given fractions.

GCF of 372,8069 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,8907

LCM of Fractions 78/372,8907/8069 is 231582

3 78, 8907
26, 2969

∴ So the LCM of the given numbers is 3 x 26 x 2969 = 231582

Least Common Multiple of 78,8907 with GCF Formula

Least Common Multiple of 78,8907 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 78,8907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,8907) = 3

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

GCF(78,8907) x common factors =3 x 1 = 3

LCM(78,8907) = ( 78 × 8907 ) / 3

LCM(78,8907) = 694746 / 3

LCM(78,8907) = 231582


Lets's calculate GCF of 372,8069

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231582/1

Therefore the LCM of Fractions 78/372,8907/8069 is 231582

Greatest Common Factor of 372,8069 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,8069 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 8069

List of positive integer factors of 8069 that divides 8069 without a remainder.

1,8069

Greatest Common Factor

We found the factors 372,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 372,8069 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 78/372, 8907/8069

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 78/372, 8907/8069?

Answer: LCM of Numerators as per given numbers 78/372, 8907/8069 is

LCM of Numerators i.e. for 78,8907 is 231582

GCF of denominators i.e. for 372,8069 is 1.

Thus, LCM of Fractions is 231582.Finally, LCM of Fractions for 78/372, 8907/8069 is 231582.