Least Common Multiple of 35/470, 508/495, 791/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/470, 508/495, 791/660 quickly i.e. 401828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/470, 508/495, 791/660 is 401828.

LCM(35/470, 508/495, 791/660) = 401828

LCM of 35/470, 508/495, 791/660

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 35/470,508/495,791/660

Given numbers are 35/470,508/495,791/660

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 35,508,791

Least Common Multiple of Numerators i.e. LCM of 35,508,791 is 2009140.

GCF of Denominators means GCF of 470,495,660 as per the given fractions.

GCF of 470,495,660 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,508,791

LCM of Fractions 35/470,508/495,791/660 is 401828

7 35, 508, 791
5, 508, 113

∴ So the LCM of the given numbers is 7 x 5 x 508 x 113 = 2009140

Least Common Multiple of 35,508,791 with GCF Formula

Least Common Multiple of 35,508,791 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 35,508,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,508,791) = 1

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

GCF(35,508,791) x common factors =1 x 7 = 7

LCM(35,508,791) = ( 35 × 508 × 791 ) / 7

LCM(35,508,791) = 14063980 / 7

LCM(35,508,791) = 2009140


Lets's calculate GCF of 470,495,660

5 470, 495, 660
94, 99, 132

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2009140/5

Therefore the LCM of Fractions 35/470,508/495,791/660 is 401828

Greatest Common Factor of 470,495,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,495,660 By Matching Biggest Common Factor Method

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors 470,495,660 . The biggest common factor number is the GCF number.
So the greatest common factor 470,495,660 is 5.


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 35/470, 508/495, 791/660

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 35/470, 508/495, 791/660?

Answer: LCM of Numerators as per given numbers 35/470, 508/495, 791/660 is

LCM of Numerators i.e. for 35,508,791 is 2009140

GCF of denominators i.e. for 470,495,660 is 5.

Thus, LCM of Fractions is 401828.Finally, LCM of Fractions for 35/470, 508/495, 791/660 is 401828.