Least Common Multiple of 87/649, 587/23, 178/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/649, 587/23, 178/977 quickly i.e. 9090282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/649, 587/23, 178/977 is 9090282.

LCM(87/649, 587/23, 178/977) = 9090282

LCM of 87/649, 587/23, 178/977

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 87/649,587/23,178/977

Given numbers are 87/649,587/23,178/977

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 87,587,178

Least Common Multiple of Numerators i.e. LCM of 87,587,178 is 9090282.

GCF of Denominators means GCF of 649,23,977 as per the given fractions.

GCF of 649,23,977 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,587,178

LCM of Fractions 87/649,587/23,178/977 is 9090282

Given numbers has no common factors except 1. So, there LCM is their product i.e 9090282

Least Common Multiple of 87,587,178 with GCF Formula

Least Common Multiple of 87,587,178 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 87,587,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,587,178) = 1

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

GCF(87,587,178) x common factors =1 x 1 = 1

LCM(87,587,178) = ( 87 × 587 × 178 ) / 1

LCM(87,587,178) = 9090282 / 1

LCM(87,587,178) = 9090282


Lets's calculate GCF of 649,23,977

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9090282/1

Therefore the LCM of Fractions 87/649,587/23,178/977 is 9090282

Greatest Common Factor of 649,23,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,23,977 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 649,23,977 . The biggest common factor number is the GCF number.
So the greatest common factor 649,23,977 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 87/649, 587/23, 178/977

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 87/649, 587/23, 178/977?

Answer: LCM of Numerators as per given numbers 87/649, 587/23, 178/977 is

LCM of Numerators i.e. for 87,587,178 is 9090282

GCF of denominators i.e. for 649,23,977 is 1.

Thus, LCM of Fractions is 9090282.Finally, LCM of Fractions for 87/649, 587/23, 178/977 is 9090282.