Least Common Multiple of 204/420, 1190/4480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 204/420, 1190/4480 quickly i.e. 51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 204/420, 1190/4480 is 51.

LCM(204/420, 1190/4480) = 51

LCM of 204/420, 1190/4480

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 204/420,1190/4480

Given numbers are 204/420,1190/4480

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 204,1190

Least Common Multiple of Numerators i.e. LCM of 204,1190 is 7140.

GCF of Denominators means GCF of 420,4480 as per the given fractions.

GCF of 420,4480 is 140 as it is the largest common factor for these numbers.

Lets's calculate LCM of 204,1190

LCM of Fractions 204/420,1190/4480 is 51

2 204, 1190
17 102, 595
6, 35

∴ So the LCM of the given numbers is 2 x 17 x 6 x 35 = 7140

Least Common Multiple of 204,1190 with GCF Formula

Least Common Multiple of 204,1190 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 204,1190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,1190) = 34

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

GCF(204,1190) x common factors =34 x 1 = 34

LCM(204,1190) = ( 204 × 1190 ) / 34

LCM(204,1190) = 242760 / 34

LCM(204,1190) = 7140


Lets's calculate GCF of 420,4480

2 420, 4480
2 210, 2240
5 105, 1120
7 21, 224
3, 32

∴ So the GCF of the given numbers is 2 x 2 x 5 x 7 = 140

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7140/140

Therefore the LCM of Fractions 204/420,1190/4480 is 51

Greatest Common Factor of 420,4480 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,4480 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 4480

List of positive integer factors of 4480 that divides 4480 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480

Greatest Common Factor

We found the factors 420,4480 . The biggest common factor number is the GCF number.
So the greatest common factor 420,4480 is 140.


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 204/420, 1190/4480

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 204/420, 1190/4480?

Answer: LCM of Numerators as per given numbers 204/420, 1190/4480 is

LCM of Numerators i.e. for 204,1190 is 7140

GCF of denominators i.e. for 420,4480 is 140.

Thus, LCM of Fractions is 51.Finally, LCM of Fractions for 204/420, 1190/4480 is 51.