Least Common Multiple of 427/564, 6123/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 427/564, 6123/717 quickly i.e. 871507 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 427/564, 6123/717 is 871507.

LCM(427/564, 6123/717) = 871507

LCM of 427/564, 6123/717

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 427/564,6123/717

Given numbers are 427/564,6123/717

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 427,6123

Least Common Multiple of Numerators i.e. LCM of 427,6123 is 2614521.

GCF of Denominators means GCF of 564,717 as per the given fractions.

GCF of 564,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 427,6123

LCM of Fractions 427/564,6123/717 is 871507

Given numbers has no common factors except 1. So, there LCM is their product i.e 2614521

Least Common Multiple of 427,6123 with GCF Formula

Least Common Multiple of 427,6123 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 427,6123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,6123) = 1

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

GCF(427,6123) x common factors =1 x 1 = 1

LCM(427,6123) = ( 427 × 6123 ) / 1

LCM(427,6123) = 2614521 / 1

LCM(427,6123) = 2614521


Lets's calculate GCF of 564,717

3 564, 717
188, 239

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2614521/3

Therefore the LCM of Fractions 427/564,6123/717 is 871507

Greatest Common Factor of 564,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,717 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 564,717 . The biggest common factor number is the GCF number.
So the greatest common factor 564,717 is 3.


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 427/564, 6123/717

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 427/564, 6123/717?

Answer: LCM of Numerators as per given numbers 427/564, 6123/717 is

LCM of Numerators i.e. for 427,6123 is 2614521

GCF of denominators i.e. for 564,717 is 3.

Thus, LCM of Fractions is 871507.Finally, LCM of Fractions for 427/564, 6123/717 is 871507.