Least Common Multiple of 420/10, 107/46, 865/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/10, 107/46, 865/602 quickly i.e. 3887310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/10, 107/46, 865/602 is 3887310.

LCM(420/10, 107/46, 865/602) = 3887310

LCM of 420/10, 107/46, 865/602

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 420/10,107/46,865/602

Given numbers are 420/10,107/46,865/602

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 420,107,865

Least Common Multiple of Numerators i.e. LCM of 420,107,865 is 7774620.

GCF of Denominators means GCF of 10,46,602 as per the given fractions.

GCF of 10,46,602 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,107,865

LCM of Fractions 420/10,107/46,865/602 is 3887310

5 420, 107, 865
84, 107, 173

∴ So the LCM of the given numbers is 5 x 84 x 107 x 173 = 7774620

Least Common Multiple of 420,107,865 with GCF Formula

Least Common Multiple of 420,107,865 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 420,107,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,107,865) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(420,107,865) x common factors =1 x 5 = 5

LCM(420,107,865) = ( 420 × 107 × 865 ) / 5

LCM(420,107,865) = 38873100 / 5

LCM(420,107,865) = 7774620


Lets's calculate GCF of 10,46,602

2 10, 46, 602
5, 23, 301

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7774620/2

Therefore the LCM of Fractions 420/10,107/46,865/602 is 3887310

Greatest Common Factor of 10,46,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,46,602 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 10,46,602 . The biggest common factor number is the GCF number.
So the greatest common factor 10,46,602 is 2.


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 420/10, 107/46, 865/602

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 420/10, 107/46, 865/602?

Answer: LCM of Numerators as per given numbers 420/10, 107/46, 865/602 is

LCM of Numerators i.e. for 420,107,865 is 7774620

GCF of denominators i.e. for 10,46,602 is 2.

Thus, LCM of Fractions is 3887310.Finally, LCM of Fractions for 420/10, 107/46, 865/602 is 3887310.