Least Common Multiple of 157/420, 8964/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 157/420, 8964/866 quickly i.e. 703674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/420, 8964/866 is 703674.

LCM(157/420, 8964/866) = 703674

LCM of 157/420, 8964/866

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 157/420,8964/866

Given numbers are 157/420,8964/866

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 157,8964

Least Common Multiple of Numerators i.e. LCM of 157,8964 is 1407348.

GCF of Denominators means GCF of 420,866 as per the given fractions.

GCF of 420,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,8964

LCM of Fractions 157/420,8964/866 is 703674

Given numbers has no common factors except 1. So, there LCM is their product i.e 1407348

Least Common Multiple of 157,8964 with GCF Formula

Least Common Multiple of 157,8964 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 157,8964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,8964) = 1

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

GCF(157,8964) x common factors =1 x 1 = 1

LCM(157,8964) = ( 157 × 8964 ) / 1

LCM(157,8964) = 1407348 / 1

LCM(157,8964) = 1407348


Lets's calculate GCF of 420,866

2 420, 866
210, 433

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1407348/2

Therefore the LCM of Fractions 157/420,8964/866 is 703674

Greatest Common Factor of 420,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,866 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 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 420,866 . The biggest common factor number is the GCF number.
So the greatest common factor 420,866 is 2.


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 157/420, 8964/866

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 157/420, 8964/866?

Answer: LCM of Numerators as per given numbers 157/420, 8964/866 is

LCM of Numerators i.e. for 157,8964 is 1407348

GCF of denominators i.e. for 420,866 is 2.

Thus, LCM of Fractions is 703674.Finally, LCM of Fractions for 157/420, 8964/866 is 703674.