Least Common Multiple of 35/956, 69/650, 180/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/956, 69/650, 180/904 quickly i.e. 14490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/956, 69/650, 180/904 is 14490.

LCM(35/956, 69/650, 180/904) = 14490

LCM of 35/956, 69/650, 180/904

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 35/956,69/650,180/904

Given numbers are 35/956,69/650,180/904

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 35,69,180

Least Common Multiple of Numerators i.e. LCM of 35,69,180 is 28980.

GCF of Denominators means GCF of 956,650,904 as per the given fractions.

GCF of 956,650,904 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,69,180

LCM of Fractions 35/956,69/650,180/904 is 14490

3 35, 69, 180
5 35, 23, 60
7, 23, 12

∴ So the LCM of the given numbers is 3 x 5 x 7 x 23 x 12 = 28980

Least Common Multiple of 35,69,180 with GCF Formula

Least Common Multiple of 35,69,180 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 35,69,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,69,180) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(35,69,180) x common factors =1 x 15 = 15

LCM(35,69,180) = ( 35 × 69 × 180 ) / 15

LCM(35,69,180) = 434700 / 15

LCM(35,69,180) = 28980


Lets's calculate GCF of 956,650,904

2 956, 650, 904
478, 325, 452

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28980/2

Therefore the LCM of Fractions 35/956,69/650,180/904 is 14490

Greatest Common Factor of 956,650,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,650,904 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 956,650,904 . The biggest common factor number is the GCF number.
So the greatest common factor 956,650,904 is 2.


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 35/956, 69/650, 180/904

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 35/956, 69/650, 180/904?

Answer: LCM of Numerators as per given numbers 35/956, 69/650, 180/904 is

LCM of Numerators i.e. for 35,69,180 is 28980

GCF of denominators i.e. for 956,650,904 is 2.

Thus, LCM of Fractions is 14490.Finally, LCM of Fractions for 35/956, 69/650, 180/904 is 14490.