Least Common Multiple of 567/420, 8906/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/420, 8906/715 quickly i.e. 5049702/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/420, 8906/715 is 5049702/5.

LCM(567/420, 8906/715) = 5049702/5

LCM of 567/420, 8906/715

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 567/420,8906/715

Given numbers are 567/420,8906/715

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 567,8906

Least Common Multiple of Numerators i.e. LCM of 567,8906 is 5049702.

GCF of Denominators means GCF of 420,715 as per the given fractions.

GCF of 420,715 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,8906

LCM of Fractions 567/420,8906/715 is 5049702/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 5049702

Least Common Multiple of 567,8906 with GCF Formula

Least Common Multiple of 567,8906 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 567,8906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,8906) = 1

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

GCF(567,8906) x common factors =1 x 1 = 1

LCM(567,8906) = ( 567 × 8906 ) / 1

LCM(567,8906) = 5049702 / 1

LCM(567,8906) = 5049702


Lets's calculate GCF of 420,715

5 420, 715
84, 143

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5049702/5

Therefore the LCM of Fractions 567/420,8906/715 is 5049702/5

Greatest Common Factor of 420,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,715 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 420,715 . The biggest common factor number is the GCF number.
So the greatest common factor 420,715 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 567/420, 8906/715

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 567/420, 8906/715?

Answer: LCM of Numerators as per given numbers 567/420, 8906/715 is

LCM of Numerators i.e. for 567,8906 is 5049702

GCF of denominators i.e. for 420,715 is 5.

Thus, LCM of Fractions is 5049702/5.Finally, LCM of Fractions for 567/420, 8906/715 is 5049702/5.