Least Common Multiple of 420/915, 247/460, 420/889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/915, 247/460, 420/889 quickly i.e. 103740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/915, 247/460, 420/889 is 103740.

LCM(420/915, 247/460, 420/889) = 103740

LCM of 420/915, 247/460, 420/889

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 420/915,247/460,420/889

Given numbers are 420/915,247/460,420/889

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 420,247,420

Least Common Multiple of Numerators i.e. LCM of 420,247,420 is 103740.

GCF of Denominators means GCF of 915,460,889 as per the given fractions.

GCF of 915,460,889 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,247,420

LCM of Fractions 420/915,247/460,420/889 is 103740

2 420, 247, 420
2 210, 247, 210
3 105, 247, 105
5 35, 247, 35
7 7, 247, 7
1, 247, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 1 x 247 x 1 = 103740

Least Common Multiple of 420,247,420 with GCF Formula

Least Common Multiple of 420,247,420 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 420,247,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,247,420) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(420,247,420) x common factors =1 x 420 = 420

LCM(420,247,420) = ( 420 × 247 × 420 ) / 420

LCM(420,247,420) = 43570800 / 420

LCM(420,247,420) = 103740


Lets's calculate GCF of 915,460,889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103740/1

Therefore the LCM of Fractions 420/915,247/460,420/889 is 103740

Greatest Common Factor of 915,460,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,460,889 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 915,460,889 . The biggest common factor number is the GCF number.
So the greatest common factor 915,460,889 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 420/915, 247/460, 420/889

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 420/915, 247/460, 420/889?

Answer: LCM of Numerators as per given numbers 420/915, 247/460, 420/889 is

LCM of Numerators i.e. for 420,247,420 is 103740

GCF of denominators i.e. for 915,460,889 is 1.

Thus, LCM of Fractions is 103740.Finally, LCM of Fractions for 420/915, 247/460, 420/889 is 103740.