Least Common Multiple of 402/507, 9706/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 402/507, 9706/917 quickly i.e. 1950906 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 402/507, 9706/917 is 1950906.

LCM(402/507, 9706/917) = 1950906

LCM of 402/507, 9706/917

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 402/507,9706/917

Given numbers are 402/507,9706/917

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 402,9706

Least Common Multiple of Numerators i.e. LCM of 402,9706 is 1950906.

GCF of Denominators means GCF of 507,917 as per the given fractions.

GCF of 507,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 402,9706

LCM of Fractions 402/507,9706/917 is 1950906

2 402, 9706
201, 4853

∴ So the LCM of the given numbers is 2 x 201 x 4853 = 1950906

Least Common Multiple of 402,9706 with GCF Formula

Least Common Multiple of 402,9706 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 402,9706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,9706) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(402,9706) x common factors =2 x 1 = 2

LCM(402,9706) = ( 402 × 9706 ) / 2

LCM(402,9706) = 3901812 / 2

LCM(402,9706) = 1950906


Lets's calculate GCF of 507,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1950906/1

Therefore the LCM of Fractions 402/507,9706/917 is 1950906

Greatest Common Factor of 507,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,917 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 507,917 . The biggest common factor number is the GCF number.
So the greatest common factor 507,917 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 402/507, 9706/917

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 402/507, 9706/917?

Answer: LCM of Numerators as per given numbers 402/507, 9706/917 is

LCM of Numerators i.e. for 402,9706 is 1950906

GCF of denominators i.e. for 507,917 is 1.

Thus, LCM of Fractions is 1950906.Finally, LCM of Fractions for 402/507, 9706/917 is 1950906.