Least Common Multiple of 2789/546, 4732/9230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2789/546, 4732/9230 quickly i.e. 507598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2789/546, 4732/9230 is 507598.

LCM(2789/546, 4732/9230) = 507598

LCM of 2789/546, 4732/9230

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 2789/546,4732/9230

Given numbers are 2789/546,4732/9230

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 2789,4732

Least Common Multiple of Numerators i.e. LCM of 2789,4732 is 13197548.

GCF of Denominators means GCF of 546,9230 as per the given fractions.

GCF of 546,9230 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2789,4732

LCM of Fractions 2789/546,4732/9230 is 507598

Given numbers has no common factors except 1. So, there LCM is their product i.e 13197548

Least Common Multiple of 2789,4732 with GCF Formula

Least Common Multiple of 2789,4732 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 2789,4732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2789,4732) = 1

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

GCF(2789,4732) x common factors =1 x 1 = 1

LCM(2789,4732) = ( 2789 × 4732 ) / 1

LCM(2789,4732) = 13197548 / 1

LCM(2789,4732) = 13197548


Lets's calculate GCF of 546,9230

2 546, 9230
13 273, 4615
21, 355

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13197548/26

Therefore the LCM of Fractions 2789/546,4732/9230 is 507598

Greatest Common Factor of 546,9230 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,9230 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 9230

List of positive integer factors of 9230 that divides 9230 without a remainder.

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Greatest Common Factor

We found the factors 546,9230 . The biggest common factor number is the GCF number.
So the greatest common factor 546,9230 is 26.


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 2789/546, 4732/9230

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 2789/546, 4732/9230?

Answer: LCM of Numerators as per given numbers 2789/546, 4732/9230 is

LCM of Numerators i.e. for 2789,4732 is 13197548

GCF of denominators i.e. for 546,9230 is 26.

Thus, LCM of Fractions is 507598.Finally, LCM of Fractions for 2789/546, 4732/9230 is 507598.