Least Common Multiple of 987/30, 328/64, 590/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/30, 328/64, 590/267 quickly i.e. 95502120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/30, 328/64, 590/267 is 95502120.

LCM(987/30, 328/64, 590/267) = 95502120

LCM of 987/30, 328/64, 590/267

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 987/30,328/64,590/267

Given numbers are 987/30,328/64,590/267

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 987,328,590

Least Common Multiple of Numerators i.e. LCM of 987,328,590 is 95502120.

GCF of Denominators means GCF of 30,64,267 as per the given fractions.

GCF of 30,64,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,328,590

LCM of Fractions 987/30,328/64,590/267 is 95502120

2 987, 328, 590
987, 164, 295

∴ So the LCM of the given numbers is 2 x 987 x 164 x 295 = 95502120

Least Common Multiple of 987,328,590 with GCF Formula

Least Common Multiple of 987,328,590 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 987,328,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,328,590) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(987,328,590) x common factors =1 x 2 = 2

LCM(987,328,590) = ( 987 × 328 × 590 ) / 2

LCM(987,328,590) = 191004240 / 2

LCM(987,328,590) = 95502120


Lets's calculate GCF of 30,64,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95502120/1

Therefore the LCM of Fractions 987/30,328/64,590/267 is 95502120

Greatest Common Factor of 30,64,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,64,267 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 30,64,267 . The biggest common factor number is the GCF number.
So the greatest common factor 30,64,267 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 987/30, 328/64, 590/267

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 987/30, 328/64, 590/267?

Answer: LCM of Numerators as per given numbers 987/30, 328/64, 590/267 is

LCM of Numerators i.e. for 987,328,590 is 95502120

GCF of denominators i.e. for 30,64,267 is 1.

Thus, LCM of Fractions is 95502120.Finally, LCM of Fractions for 987/30, 328/64, 590/267 is 95502120.