Least Common Multiple of 985/422, 285/296, 420/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 985/422, 285/296, 420/717 quickly i.e. 1572060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 985/422, 285/296, 420/717 is 1572060.

LCM(985/422, 285/296, 420/717) = 1572060

LCM of 985/422, 285/296, 420/717

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 985/422,285/296,420/717

Given numbers are 985/422,285/296,420/717

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 985,285,420

Least Common Multiple of Numerators i.e. LCM of 985,285,420 is 1572060.

GCF of Denominators means GCF of 422,296,717 as per the given fractions.

GCF of 422,296,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 985,285,420

LCM of Fractions 985/422,285/296,420/717 is 1572060

3 985, 285, 420
5 985, 95, 140
197, 19, 28

∴ So the LCM of the given numbers is 3 x 5 x 197 x 19 x 28 = 1572060

Least Common Multiple of 985,285,420 with GCF Formula

Least Common Multiple of 985,285,420 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 985,285,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,285,420) = 5

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

GCF(985,285,420) x common factors =5 x 15 = 75

LCM(985,285,420) = ( 985 × 285 × 420 ) / 75

LCM(985,285,420) = 117904500 / 75

LCM(985,285,420) = 1572060


Lets's calculate GCF of 422,296,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1572060/1

Therefore the LCM of Fractions 985/422,285/296,420/717 is 1572060

Greatest Common Factor of 422,296,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,296,717 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 422,296,717 . The biggest common factor number is the GCF number.
So the greatest common factor 422,296,717 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 985/422, 285/296, 420/717

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 985/422, 285/296, 420/717?

Answer: LCM of Numerators as per given numbers 985/422, 285/296, 420/717 is

LCM of Numerators i.e. for 985,285,420 is 1572060

GCF of denominators i.e. for 422,296,717 is 1.

Thus, LCM of Fractions is 1572060.Finally, LCM of Fractions for 985/422, 285/296, 420/717 is 1572060.