Least Common Multiple of 861/470, 664/907, 739/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 861/470, 664/907, 739/356 quickly i.e. 422489256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 861/470, 664/907, 739/356 is 422489256.

LCM(861/470, 664/907, 739/356) = 422489256

LCM of 861/470, 664/907, 739/356

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 861/470,664/907,739/356

Given numbers are 861/470,664/907,739/356

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 861,664,739

Least Common Multiple of Numerators i.e. LCM of 861,664,739 is 422489256.

GCF of Denominators means GCF of 470,907,356 as per the given fractions.

GCF of 470,907,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 861,664,739

LCM of Fractions 861/470,664/907,739/356 is 422489256

Given numbers has no common factors except 1. So, there LCM is their product i.e 422489256

Least Common Multiple of 861,664,739 with GCF Formula

Least Common Multiple of 861,664,739 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 861,664,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,664,739) = 1

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

GCF(861,664,739) x common factors =1 x 1 = 1

LCM(861,664,739) = ( 861 × 664 × 739 ) / 1

LCM(861,664,739) = 422489256 / 1

LCM(861,664,739) = 422489256


Lets's calculate GCF of 470,907,356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422489256/1

Therefore the LCM of Fractions 861/470,664/907,739/356 is 422489256

Greatest Common Factor of 470,907,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,907,356 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 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 470,907,356 . The biggest common factor number is the GCF number.
So the greatest common factor 470,907,356 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 861/470, 664/907, 739/356

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 861/470, 664/907, 739/356?

Answer: LCM of Numerators as per given numbers 861/470, 664/907, 739/356 is

LCM of Numerators i.e. for 861,664,739 is 422489256

GCF of denominators i.e. for 470,907,356 is 1.

Thus, LCM of Fractions is 422489256.Finally, LCM of Fractions for 861/470, 664/907, 739/356 is 422489256.