Least Common Multiple of 35/31, 964/81, 178/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/31, 964/81, 178/260 quickly i.e. 3002860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/31, 964/81, 178/260 is 3002860.

LCM(35/31, 964/81, 178/260) = 3002860

LCM of 35/31, 964/81, 178/260

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 35/31,964/81,178/260

Given numbers are 35/31,964/81,178/260

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 35,964,178

Least Common Multiple of Numerators i.e. LCM of 35,964,178 is 3002860.

GCF of Denominators means GCF of 31,81,260 as per the given fractions.

GCF of 31,81,260 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,964,178

LCM of Fractions 35/31,964/81,178/260 is 3002860

2 35, 964, 178
35, 482, 89

∴ So the LCM of the given numbers is 2 x 35 x 482 x 89 = 3002860

Least Common Multiple of 35,964,178 with GCF Formula

Least Common Multiple of 35,964,178 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 35,964,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,964,178) = 1

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

GCF(35,964,178) x common factors =1 x 2 = 2

LCM(35,964,178) = ( 35 × 964 × 178 ) / 2

LCM(35,964,178) = 6005720 / 2

LCM(35,964,178) = 3002860


Lets's calculate GCF of 31,81,260

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3002860/1

Therefore the LCM of Fractions 35/31,964/81,178/260 is 3002860

Greatest Common Factor of 31,81,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,81,260 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 31,81,260 . The biggest common factor number is the GCF number.
So the greatest common factor 31,81,260 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 35/31, 964/81, 178/260

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 35/31, 964/81, 178/260?

Answer: LCM of Numerators as per given numbers 35/31, 964/81, 178/260 is

LCM of Numerators i.e. for 35,964,178 is 3002860

GCF of denominators i.e. for 31,81,260 is 1.

Thus, LCM of Fractions is 3002860.Finally, LCM of Fractions for 35/31, 964/81, 178/260 is 3002860.