Least Common Multiple of 48/789, 206/648, 652/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/789, 206/648, 652/284 quickly i.e. 805872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/789, 206/648, 652/284 is 805872.

LCM(48/789, 206/648, 652/284) = 805872

LCM of 48/789, 206/648, 652/284

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 48/789,206/648,652/284

Given numbers are 48/789,206/648,652/284

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 48,206,652

Least Common Multiple of Numerators i.e. LCM of 48,206,652 is 805872.

GCF of Denominators means GCF of 789,648,284 as per the given fractions.

GCF of 789,648,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,206,652

LCM of Fractions 48/789,206/648,652/284 is 805872

2 48, 206, 652
2 24, 103, 326
12, 103, 163

∴ So the LCM of the given numbers is 2 x 2 x 12 x 103 x 163 = 805872

Least Common Multiple of 48,206,652 with GCF Formula

Least Common Multiple of 48,206,652 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 48,206,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,206,652) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(48,206,652) x common factors =2 x 4 = 8

LCM(48,206,652) = ( 48 × 206 × 652 ) / 8

LCM(48,206,652) = 6446976 / 8

LCM(48,206,652) = 805872


Lets's calculate GCF of 789,648,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 805872/1

Therefore the LCM of Fractions 48/789,206/648,652/284 is 805872

Greatest Common Factor of 789,648,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,648,284 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 789,648,284 . The biggest common factor number is the GCF number.
So the greatest common factor 789,648,284 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 48/789, 206/648, 652/284

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 48/789, 206/648, 652/284?

Answer: LCM of Numerators as per given numbers 48/789, 206/648, 652/284 is

LCM of Numerators i.e. for 48,206,652 is 805872

GCF of denominators i.e. for 789,648,284 is 1.

Thus, LCM of Fractions is 805872.Finally, LCM of Fractions for 48/789, 206/648, 652/284 is 805872.