Least Common Multiple of 718/92, 420/8767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 718/92, 420/8767 quickly i.e. 150780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 718/92, 420/8767 is 150780.

LCM(718/92, 420/8767) = 150780

LCM of 718/92, 420/8767

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 718/92,420/8767

Given numbers are 718/92,420/8767

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 718,420

Least Common Multiple of Numerators i.e. LCM of 718,420 is 150780.

GCF of Denominators means GCF of 92,8767 as per the given fractions.

GCF of 92,8767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 718,420

LCM of Fractions 718/92,420/8767 is 150780

2 718, 420
359, 210

∴ So the LCM of the given numbers is 2 x 359 x 210 = 150780

Least Common Multiple of 718,420 with GCF Formula

Least Common Multiple of 718,420 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 718,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(718,420) = 2

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

GCF(718,420) x common factors =2 x 1 = 2

LCM(718,420) = ( 718 × 420 ) / 2

LCM(718,420) = 301560 / 2

LCM(718,420) = 150780


Lets's calculate GCF of 92,8767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150780/1

Therefore the LCM of Fractions 718/92,420/8767 is 150780

Greatest Common Factor of 92,8767 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,8767 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 8767

List of positive integer factors of 8767 that divides 8767 without a remainder.

1,11,797,8767

Greatest Common Factor

We found the factors 92,8767 . The biggest common factor number is the GCF number.
So the greatest common factor 92,8767 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 718/92, 420/8767

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 718/92, 420/8767?

Answer: LCM of Numerators as per given numbers 718/92, 420/8767 is

LCM of Numerators i.e. for 718,420 is 150780

GCF of denominators i.e. for 92,8767 is 1.

Thus, LCM of Fractions is 150780.Finally, LCM of Fractions for 718/92, 420/8767 is 150780.