Least Common Multiple of 618/25, 820/2400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/25, 820/2400 quickly i.e. 253380/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/25, 820/2400 is 253380/25.

LCM(618/25, 820/2400) = 253380/25

LCM of 618/25, 820/2400

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 618/25,820/2400

Given numbers are 618/25,820/2400

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 618,820

Least Common Multiple of Numerators i.e. LCM of 618,820 is 253380.

GCF of Denominators means GCF of 25,2400 as per the given fractions.

GCF of 25,2400 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,820

LCM of Fractions 618/25,820/2400 is 253380/25

2 618, 820
309, 410

∴ So the LCM of the given numbers is 2 x 309 x 410 = 253380

Least Common Multiple of 618,820 with GCF Formula

Least Common Multiple of 618,820 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 618,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,820) = 2

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

GCF(618,820) x common factors =2 x 1 = 2

LCM(618,820) = ( 618 × 820 ) / 2

LCM(618,820) = 506760 / 2

LCM(618,820) = 253380


Lets's calculate GCF of 25,2400

5 25, 2400
5 5, 480
1, 96

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253380/25

Therefore the LCM of Fractions 618/25,820/2400 is 253380/25

Greatest Common Factor of 25,2400 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,2400 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Greatest Common Factor

We found the factors 25,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 25,2400 is 25.


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 618/25, 820/2400

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 618/25, 820/2400?

Answer: LCM of Numerators as per given numbers 618/25, 820/2400 is

LCM of Numerators i.e. for 618,820 is 253380

GCF of denominators i.e. for 25,2400 is 25.

Thus, LCM of Fractions is 253380/25.Finally, LCM of Fractions for 618/25, 820/2400 is 253380/25.