Least Common Multiple of 7242/595, 3296/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7242/595, 3296/420 quickly i.e. 11934816/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7242/595, 3296/420 is 11934816/35.

LCM(7242/595, 3296/420) = 11934816/35

LCM of 7242/595, 3296/420

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 7242/595,3296/420

Given numbers are 7242/595,3296/420

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 7242,3296

Least Common Multiple of Numerators i.e. LCM of 7242,3296 is 11934816.

GCF of Denominators means GCF of 595,420 as per the given fractions.

GCF of 595,420 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7242,3296

LCM of Fractions 7242/595,3296/420 is 11934816/35

2 7242, 3296
3621, 1648

∴ So the LCM of the given numbers is 2 x 3621 x 1648 = 11934816

Least Common Multiple of 7242,3296 with GCF Formula

Least Common Multiple of 7242,3296 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 7242,3296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7242,3296) = 2

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

GCF(7242,3296) x common factors =2 x 1 = 2

LCM(7242,3296) = ( 7242 × 3296 ) / 2

LCM(7242,3296) = 23869632 / 2

LCM(7242,3296) = 11934816


Lets's calculate GCF of 595,420

5 595, 420
7 119, 84
17, 12

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11934816/35

Therefore the LCM of Fractions 7242/595,3296/420 is 11934816/35

Greatest Common Factor of 595,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,420 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

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

Greatest Common Factor

We found the factors 595,420 . The biggest common factor number is the GCF number.
So the greatest common factor 595,420 is 35.


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 7242/595, 3296/420

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 7242/595, 3296/420?

Answer: LCM of Numerators as per given numbers 7242/595, 3296/420 is

LCM of Numerators i.e. for 7242,3296 is 11934816

GCF of denominators i.e. for 595,420 is 35.

Thus, LCM of Fractions is 11934816/35.Finally, LCM of Fractions for 7242/595, 3296/420 is 11934816/35.