Least Common Multiple of 2420/387, 4800/9025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2420/387, 4800/9025 quickly i.e. 580800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2420/387, 4800/9025 is 580800.

LCM(2420/387, 4800/9025) = 580800

LCM of 2420/387, 4800/9025

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 2420/387,4800/9025

Given numbers are 2420/387,4800/9025

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 2420,4800

Least Common Multiple of Numerators i.e. LCM of 2420,4800 is 580800.

GCF of Denominators means GCF of 387,9025 as per the given fractions.

GCF of 387,9025 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2420,4800

LCM of Fractions 2420/387,4800/9025 is 580800

2 2420, 4800
2 1210, 2400
5 605, 1200
121, 240

∴ So the LCM of the given numbers is 2 x 2 x 5 x 121 x 240 = 580800

Least Common Multiple of 2420,4800 with GCF Formula

Least Common Multiple of 2420,4800 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 2420,4800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2420,4800) = 20

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

GCF(2420,4800) x common factors =20 x 1 = 20

LCM(2420,4800) = ( 2420 × 4800 ) / 20

LCM(2420,4800) = 11616000 / 20

LCM(2420,4800) = 580800


Lets's calculate GCF of 387,9025

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580800/1

Therefore the LCM of Fractions 2420/387,4800/9025 is 580800

Greatest Common Factor of 387,9025 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,9025 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors 387,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 387,9025 is 1.


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 2420/387, 4800/9025

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 2420/387, 4800/9025?

Answer: LCM of Numerators as per given numbers 2420/387, 4800/9025 is

LCM of Numerators i.e. for 2420,4800 is 580800

GCF of denominators i.e. for 387,9025 is 1.

Thus, LCM of Fractions is 580800.Finally, LCM of Fractions for 2420/387, 4800/9025 is 580800.