Least Common Multiple of 607/420, 790/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 607/420, 790/324 quickly i.e. 479530/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 607/420, 790/324 is 479530/12.

LCM(607/420, 790/324) = 479530/12

LCM of 607/420, 790/324

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 607/420,790/324

Given numbers are 607/420,790/324

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 607,790

Least Common Multiple of Numerators i.e. LCM of 607,790 is 479530.

GCF of Denominators means GCF of 420,324 as per the given fractions.

GCF of 420,324 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 607,790

LCM of Fractions 607/420,790/324 is 479530/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 479530

Least Common Multiple of 607,790 with GCF Formula

Least Common Multiple of 607,790 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 607,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,790) = 1

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

GCF(607,790) x common factors =1 x 1 = 1

LCM(607,790) = ( 607 × 790 ) / 1

LCM(607,790) = 479530 / 1

LCM(607,790) = 479530


Lets's calculate GCF of 420,324

2 420, 324
2 210, 162
3 105, 81
35, 27

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479530/12

Therefore the LCM of Fractions 607/420,790/324 is 479530/12

Greatest Common Factor of 420,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,324 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 420,324 . The biggest common factor number is the GCF number.
So the greatest common factor 420,324 is 12.


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 607/420, 790/324

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 607/420, 790/324?

Answer: LCM of Numerators as per given numbers 607/420, 790/324 is

LCM of Numerators i.e. for 607,790 is 479530

GCF of denominators i.e. for 420,324 is 12.

Thus, LCM of Fractions is 479530/12.Finally, LCM of Fractions for 607/420, 790/324 is 479530/12.