Least Common Multiple of 7158/665, 7707/4716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7158/665, 7707/4716 quickly i.e. 18388902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7158/665, 7707/4716 is 18388902.

LCM(7158/665, 7707/4716) = 18388902

LCM of 7158/665, 7707/4716

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 7158/665,7707/4716

Given numbers are 7158/665,7707/4716

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 7158,7707

Least Common Multiple of Numerators i.e. LCM of 7158,7707 is 18388902.

GCF of Denominators means GCF of 665,4716 as per the given fractions.

GCF of 665,4716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7158,7707

LCM of Fractions 7158/665,7707/4716 is 18388902

3 7158, 7707
2386, 2569

∴ So the LCM of the given numbers is 3 x 2386 x 2569 = 18388902

Least Common Multiple of 7158,7707 with GCF Formula

Least Common Multiple of 7158,7707 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 7158,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7158,7707) = 3

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

GCF(7158,7707) x common factors =3 x 1 = 3

LCM(7158,7707) = ( 7158 × 7707 ) / 3

LCM(7158,7707) = 55166706 / 3

LCM(7158,7707) = 18388902


Lets's calculate GCF of 665,4716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18388902/1

Therefore the LCM of Fractions 7158/665,7707/4716 is 18388902

Greatest Common Factor of 665,4716 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,4716 By Matching Biggest Common Factor Method

Factors of 665

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

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

Factors of 4716

List of positive integer factors of 4716 that divides 4716 without a remainder.

1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716

Greatest Common Factor

We found the factors 665,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 665,4716 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7158/665, 7707/4716

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 7158/665, 7707/4716?

Answer: LCM of Numerators as per given numbers 7158/665, 7707/4716 is

LCM of Numerators i.e. for 7158,7707 is 18388902

GCF of denominators i.e. for 665,4716 is 1.

Thus, LCM of Fractions is 18388902.Finally, LCM of Fractions for 7158/665, 7707/4716 is 18388902.