Least Common Multiple of 648/15, 5600/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/15, 5600/420 quickly i.e. 30240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/15, 5600/420 is 30240.

LCM(648/15, 5600/420) = 30240

LCM of 648/15, 5600/420

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 648/15,5600/420

Given numbers are 648/15,5600/420

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 648,5600

Least Common Multiple of Numerators i.e. LCM of 648,5600 is 453600.

GCF of Denominators means GCF of 15,420 as per the given fractions.

GCF of 15,420 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,5600

LCM of Fractions 648/15,5600/420 is 30240

2 648, 5600
2 324, 2800
2 162, 1400
81, 700

∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 700 = 453600

Least Common Multiple of 648,5600 with GCF Formula

Least Common Multiple of 648,5600 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 648,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,5600) = 8

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

GCF(648,5600) x common factors =8 x 1 = 8

LCM(648,5600) = ( 648 × 5600 ) / 8

LCM(648,5600) = 3628800 / 8

LCM(648,5600) = 453600


Lets's calculate GCF of 15,420

3 15, 420
5 5, 140
1, 28

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453600/15

Therefore the LCM of Fractions 648/15,5600/420 is 30240

Greatest Common Factor of 15,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,420 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

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 15,420 . The biggest common factor number is the GCF number.
So the greatest common factor 15,420 is 15.


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 648/15, 5600/420

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 648/15, 5600/420?

Answer: LCM of Numerators as per given numbers 648/15, 5600/420 is

LCM of Numerators i.e. for 648,5600 is 453600

GCF of denominators i.e. for 15,420 is 15.

Thus, LCM of Fractions is 30240.Finally, LCM of Fractions for 648/15, 5600/420 is 30240.