Least Common Multiple of 87/984, 55/649, 640/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/984, 55/649, 640/138 quickly i.e. 612480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/984, 55/649, 640/138 is 612480.

LCM(87/984, 55/649, 640/138) = 612480

LCM of 87/984, 55/649, 640/138

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 87/984,55/649,640/138

Given numbers are 87/984,55/649,640/138

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 87,55,640

Least Common Multiple of Numerators i.e. LCM of 87,55,640 is 612480.

GCF of Denominators means GCF of 984,649,138 as per the given fractions.

GCF of 984,649,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,55,640

LCM of Fractions 87/984,55/649,640/138 is 612480

5 87, 55, 640
87, 11, 128

∴ So the LCM of the given numbers is 5 x 87 x 11 x 128 = 612480

Least Common Multiple of 87,55,640 with GCF Formula

Least Common Multiple of 87,55,640 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 87,55,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,55,640) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(87,55,640) x common factors =1 x 5 = 5

LCM(87,55,640) = ( 87 × 55 × 640 ) / 5

LCM(87,55,640) = 3062400 / 5

LCM(87,55,640) = 612480


Lets's calculate GCF of 984,649,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612480/1

Therefore the LCM of Fractions 87/984,55/649,640/138 is 612480

Greatest Common Factor of 984,649,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,649,138 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 649

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

1,11,59,649

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 984,649,138 . The biggest common factor number is the GCF number.
So the greatest common factor 984,649,138 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 87/984, 55/649, 640/138

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 87/984, 55/649, 640/138?

Answer: LCM of Numerators as per given numbers 87/984, 55/649, 640/138 is

LCM of Numerators i.e. for 87,55,640 is 612480

GCF of denominators i.e. for 984,649,138 is 1.

Thus, LCM of Fractions is 612480.Finally, LCM of Fractions for 87/984, 55/649, 640/138 is 612480.