Least Common Multiple of 964/161, 296/540, 493/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 964/161, 296/540, 493/882 quickly i.e. 35168648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 964/161, 296/540, 493/882 is 35168648.

LCM(964/161, 296/540, 493/882) = 35168648

LCM of 964/161, 296/540, 493/882

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 964/161,296/540,493/882

Given numbers are 964/161,296/540,493/882

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 964,296,493

Least Common Multiple of Numerators i.e. LCM of 964,296,493 is 35168648.

GCF of Denominators means GCF of 161,540,882 as per the given fractions.

GCF of 161,540,882 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 964,296,493

LCM of Fractions 964/161,296/540,493/882 is 35168648

2 964, 296, 493
2 482, 148, 493
241, 74, 493

∴ So the LCM of the given numbers is 2 x 2 x 241 x 74 x 493 = 35168648

Least Common Multiple of 964,296,493 with GCF Formula

Least Common Multiple of 964,296,493 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 964,296,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(964,296,493) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(964,296,493) x common factors =1 x 4 = 4

LCM(964,296,493) = ( 964 × 296 × 493 ) / 4

LCM(964,296,493) = 140674592 / 4

LCM(964,296,493) = 35168648


Lets's calculate GCF of 161,540,882

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35168648/1

Therefore the LCM of Fractions 964/161,296/540,493/882 is 35168648

Greatest Common Factor of 161,540,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,540,882 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 161,540,882 . The biggest common factor number is the GCF number.
So the greatest common factor 161,540,882 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 964/161, 296/540, 493/882

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 964/161, 296/540, 493/882?

Answer: LCM of Numerators as per given numbers 964/161, 296/540, 493/882 is

LCM of Numerators i.e. for 964,296,493 is 35168648

GCF of denominators i.e. for 161,540,882 is 1.

Thus, LCM of Fractions is 35168648.Finally, LCM of Fractions for 964/161, 296/540, 493/882 is 35168648.