Least Common Multiple of 87/872, 812/568, 601/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/872, 812/568, 601/231 quickly i.e. 1464036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/872, 812/568, 601/231 is 1464036.

LCM(87/872, 812/568, 601/231) = 1464036

LCM of 87/872, 812/568, 601/231

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 87/872,812/568,601/231

Given numbers are 87/872,812/568,601/231

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 87,812,601

Least Common Multiple of Numerators i.e. LCM of 87,812,601 is 1464036.

GCF of Denominators means GCF of 872,568,231 as per the given fractions.

GCF of 872,568,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,812,601

LCM of Fractions 87/872,812/568,601/231 is 1464036

29 87, 812, 601
3, 28, 601

∴ So the LCM of the given numbers is 29 x 3 x 28 x 601 = 1464036

Least Common Multiple of 87,812,601 with GCF Formula

Least Common Multiple of 87,812,601 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 87,812,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,812,601) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(87,812,601) x common factors =1 x 29 = 29

LCM(87,812,601) = ( 87 × 812 × 601 ) / 29

LCM(87,812,601) = 42457044 / 29

LCM(87,812,601) = 1464036


Lets's calculate GCF of 872,568,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1464036/1

Therefore the LCM of Fractions 87/872,812/568,601/231 is 1464036

Greatest Common Factor of 872,568,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,568,231 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 872,568,231 . The biggest common factor number is the GCF number.
So the greatest common factor 872,568,231 is 1.


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 87/872, 812/568, 601/231

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 87/872, 812/568, 601/231?

Answer: LCM of Numerators as per given numbers 87/872, 812/568, 601/231 is

LCM of Numerators i.e. for 87,812,601 is 1464036

GCF of denominators i.e. for 872,568,231 is 1.

Thus, LCM of Fractions is 1464036.Finally, LCM of Fractions for 87/872, 812/568, 601/231 is 1464036.