Least Common Multiple of 489/855, 968/784, 295/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/855, 968/784, 295/975 quickly i.e. 139638840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/855, 968/784, 295/975 is 139638840.

LCM(489/855, 968/784, 295/975) = 139638840

LCM of 489/855, 968/784, 295/975

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 489/855,968/784,295/975

Given numbers are 489/855,968/784,295/975

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 489,968,295

Least Common Multiple of Numerators i.e. LCM of 489,968,295 is 139638840.

GCF of Denominators means GCF of 855,784,975 as per the given fractions.

GCF of 855,784,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,968,295

LCM of Fractions 489/855,968/784,295/975 is 139638840

Given numbers has no common factors except 1. So, there LCM is their product i.e 139638840

Least Common Multiple of 489,968,295 with GCF Formula

Least Common Multiple of 489,968,295 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 489,968,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,968,295) = 1

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

GCF(489,968,295) x common factors =1 x 1 = 1

LCM(489,968,295) = ( 489 × 968 × 295 ) / 1

LCM(489,968,295) = 139638840 / 1

LCM(489,968,295) = 139638840


Lets's calculate GCF of 855,784,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139638840/1

Therefore the LCM of Fractions 489/855,968/784,295/975 is 139638840

Greatest Common Factor of 855,784,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,784,975 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 855,784,975 . The biggest common factor number is the GCF number.
So the greatest common factor 855,784,975 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 489/855, 968/784, 295/975

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 489/855, 968/784, 295/975?

Answer: LCM of Numerators as per given numbers 489/855, 968/784, 295/975 is

LCM of Numerators i.e. for 489,968,295 is 139638840

GCF of denominators i.e. for 855,784,975 is 1.

Thus, LCM of Fractions is 139638840.Finally, LCM of Fractions for 489/855, 968/784, 295/975 is 139638840.