Least Common Multiple of 51/484, 79/105, 479/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/484, 79/105, 479/187 quickly i.e. 1929891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/484, 79/105, 479/187 is 1929891.

LCM(51/484, 79/105, 479/187) = 1929891

LCM of 51/484, 79/105, 479/187

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 51/484,79/105,479/187

Given numbers are 51/484,79/105,479/187

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 51,79,479

Least Common Multiple of Numerators i.e. LCM of 51,79,479 is 1929891.

GCF of Denominators means GCF of 484,105,187 as per the given fractions.

GCF of 484,105,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,79,479

LCM of Fractions 51/484,79/105,479/187 is 1929891

Given numbers has no common factors except 1. So, there LCM is their product i.e 1929891

Least Common Multiple of 51,79,479 with GCF Formula

Least Common Multiple of 51,79,479 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 51,79,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,79,479) = 1

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

GCF(51,79,479) x common factors =1 x 1 = 1

LCM(51,79,479) = ( 51 × 79 × 479 ) / 1

LCM(51,79,479) = 1929891 / 1

LCM(51,79,479) = 1929891


Lets's calculate GCF of 484,105,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1929891/1

Therefore the LCM of Fractions 51/484,79/105,479/187 is 1929891

Greatest Common Factor of 484,105,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,105,187 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 484,105,187 . The biggest common factor number is the GCF number.
So the greatest common factor 484,105,187 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 51/484, 79/105, 479/187

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 51/484, 79/105, 479/187?

Answer: LCM of Numerators as per given numbers 51/484, 79/105, 479/187 is

LCM of Numerators i.e. for 51,79,479 is 1929891

GCF of denominators i.e. for 484,105,187 is 1.

Thus, LCM of Fractions is 1929891.Finally, LCM of Fractions for 51/484, 79/105, 479/187 is 1929891.