Least Common Multiple of 35/735, 63/152, 961/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 35/735, 63/152, 961/730 quickly i.e. 302715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/735, 63/152, 961/730 is 302715.

LCM(35/735, 63/152, 961/730) = 302715

LCM of 35/735, 63/152, 961/730

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 35/735,63/152,961/730

Given numbers are 35/735,63/152,961/730

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 35,63,961

Least Common Multiple of Numerators i.e. LCM of 35,63,961 is 302715.

GCF of Denominators means GCF of 735,152,730 as per the given fractions.

GCF of 735,152,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,63,961

LCM of Fractions 35/735,63/152,961/730 is 302715

7 35, 63, 961
5, 9, 961

∴ So the LCM of the given numbers is 7 x 5 x 9 x 961 = 302715

Least Common Multiple of 35,63,961 with GCF Formula

Least Common Multiple of 35,63,961 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 35,63,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,63,961) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(35,63,961) x common factors =1 x 7 = 7

LCM(35,63,961) = ( 35 × 63 × 961 ) / 7

LCM(35,63,961) = 2119005 / 7

LCM(35,63,961) = 302715


Lets's calculate GCF of 735,152,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302715/1

Therefore the LCM of Fractions 35/735,63/152,961/730 is 302715

Greatest Common Factor of 735,152,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,152,730 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 735,152,730 . The biggest common factor number is the GCF number.
So the greatest common factor 735,152,730 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 35/735, 63/152, 961/730

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 35/735, 63/152, 961/730?

Answer: LCM of Numerators as per given numbers 35/735, 63/152, 961/730 is

LCM of Numerators i.e. for 35,63,961 is 302715

GCF of denominators i.e. for 735,152,730 is 1.

Thus, LCM of Fractions is 302715.Finally, LCM of Fractions for 35/735, 63/152, 961/730 is 302715.