Least Common Multiple of 987/256, 778/328, 509/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/256, 778/328, 509/669 quickly i.e. 390853974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/256, 778/328, 509/669 is 390853974.

LCM(987/256, 778/328, 509/669) = 390853974

LCM of 987/256, 778/328, 509/669

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 987/256,778/328,509/669

Given numbers are 987/256,778/328,509/669

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 987,778,509

Least Common Multiple of Numerators i.e. LCM of 987,778,509 is 390853974.

GCF of Denominators means GCF of 256,328,669 as per the given fractions.

GCF of 256,328,669 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,778,509

LCM of Fractions 987/256,778/328,509/669 is 390853974

Given numbers has no common factors except 1. So, there LCM is their product i.e 390853974

Least Common Multiple of 987,778,509 with GCF Formula

Least Common Multiple of 987,778,509 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 987,778,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,778,509) = 1

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

GCF(987,778,509) x common factors =1 x 1 = 1

LCM(987,778,509) = ( 987 × 778 × 509 ) / 1

LCM(987,778,509) = 390853974 / 1

LCM(987,778,509) = 390853974


Lets's calculate GCF of 256,328,669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390853974/1

Therefore the LCM of Fractions 987/256,778/328,509/669 is 390853974

Greatest Common Factor of 256,328,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,328,669 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 256,328,669 . The biggest common factor number is the GCF number.
So the greatest common factor 256,328,669 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 987/256, 778/328, 509/669

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 987/256, 778/328, 509/669?

Answer: LCM of Numerators as per given numbers 987/256, 778/328, 509/669 is

LCM of Numerators i.e. for 987,778,509 is 390853974

GCF of denominators i.e. for 256,328,669 is 1.

Thus, LCM of Fractions is 390853974.Finally, LCM of Fractions for 987/256, 778/328, 509/669 is 390853974.