Least Common Multiple of 51/482, 7230/4450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/482, 7230/4450 quickly i.e. 61455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/482, 7230/4450 is 61455.

LCM(51/482, 7230/4450) = 61455

LCM of 51/482, 7230/4450

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 51/482,7230/4450

Given numbers are 51/482,7230/4450

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 51,7230

Least Common Multiple of Numerators i.e. LCM of 51,7230 is 122910.

GCF of Denominators means GCF of 482,4450 as per the given fractions.

GCF of 482,4450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,7230

LCM of Fractions 51/482,7230/4450 is 61455

3 51, 7230
17, 2410

∴ So the LCM of the given numbers is 3 x 17 x 2410 = 122910

Least Common Multiple of 51,7230 with GCF Formula

Least Common Multiple of 51,7230 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 51,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,7230) = 3

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

GCF(51,7230) x common factors =3 x 1 = 3

LCM(51,7230) = ( 51 × 7230 ) / 3

LCM(51,7230) = 368730 / 3

LCM(51,7230) = 122910


Lets's calculate GCF of 482,4450

2 482, 4450
241, 2225

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122910/2

Therefore the LCM of Fractions 51/482,7230/4450 is 61455

Greatest Common Factor of 482,4450 By Matching Biggest Common Factor Method

Greatest Common Factor of 482,4450 By Matching Biggest Common Factor Method

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Factors of 4450

List of positive integer factors of 4450 that divides 4450 without a remainder.

1,2,5,10,25,50,89,178,445,890,2225,4450

Greatest Common Factor

We found the factors 482,4450 . The biggest common factor number is the GCF number.
So the greatest common factor 482,4450 is 2.


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 51/482, 7230/4450

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 51/482, 7230/4450?

Answer: LCM of Numerators as per given numbers 51/482, 7230/4450 is

LCM of Numerators i.e. for 51,7230 is 122910

GCF of denominators i.e. for 482,4450 is 2.

Thus, LCM of Fractions is 61455.Finally, LCM of Fractions for 51/482, 7230/4450 is 61455.