Least Common Multiple of 72/453, 3340/3420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/453, 3340/3420 quickly i.e. 20040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/453, 3340/3420 is 20040.

LCM(72/453, 3340/3420) = 20040

LCM of 72/453, 3340/3420

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 72/453,3340/3420

Given numbers are 72/453,3340/3420

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 72,3340

Least Common Multiple of Numerators i.e. LCM of 72,3340 is 60120.

GCF of Denominators means GCF of 453,3420 as per the given fractions.

GCF of 453,3420 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,3340

LCM of Fractions 72/453,3340/3420 is 20040

2 72, 3340
2 36, 1670
18, 835

∴ So the LCM of the given numbers is 2 x 2 x 18 x 835 = 60120

Least Common Multiple of 72,3340 with GCF Formula

Least Common Multiple of 72,3340 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 72,3340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,3340) = 4

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

GCF(72,3340) x common factors =4 x 1 = 4

LCM(72,3340) = ( 72 × 3340 ) / 4

LCM(72,3340) = 240480 / 4

LCM(72,3340) = 60120


Lets's calculate GCF of 453,3420

3 453, 3420
151, 1140

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60120/3

Therefore the LCM of Fractions 72/453,3340/3420 is 20040

Greatest Common Factor of 453,3420 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,3420 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors 453,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 453,3420 is 3.


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 72/453, 3340/3420

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 72/453, 3340/3420?

Answer: LCM of Numerators as per given numbers 72/453, 3340/3420 is

LCM of Numerators i.e. for 72,3340 is 60120

GCF of denominators i.e. for 453,3420 is 3.

Thus, LCM of Fractions is 20040.Finally, LCM of Fractions for 72/453, 3340/3420 is 20040.