Least Common Multiple of 79/273, 19/420, 429/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/273, 19/420, 429/410 quickly i.e. 643929 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/273, 19/420, 429/410 is 643929.

LCM(79/273, 19/420, 429/410) = 643929

LCM of 79/273, 19/420, 429/410

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 79/273,19/420,429/410

Given numbers are 79/273,19/420,429/410

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 79,19,429

Least Common Multiple of Numerators i.e. LCM of 79,19,429 is 643929.

GCF of Denominators means GCF of 273,420,410 as per the given fractions.

GCF of 273,420,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,19,429

LCM of Fractions 79/273,19/420,429/410 is 643929

Given numbers has no common factors except 1. So, there LCM is their product i.e 643929

Least Common Multiple of 79,19,429 with GCF Formula

Least Common Multiple of 79,19,429 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 79,19,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,19,429) = 1

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

GCF(79,19,429) x common factors =1 x 1 = 1

LCM(79,19,429) = ( 79 × 19 × 429 ) / 1

LCM(79,19,429) = 643929 / 1

LCM(79,19,429) = 643929


Lets's calculate GCF of 273,420,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 643929/1

Therefore the LCM of Fractions 79/273,19/420,429/410 is 643929

Greatest Common Factor of 273,420,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,420,410 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 273,420,410 . The biggest common factor number is the GCF number.
So the greatest common factor 273,420,410 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 79/273, 19/420, 429/410

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 79/273, 19/420, 429/410?

Answer: LCM of Numerators as per given numbers 79/273, 19/420, 429/410 is

LCM of Numerators i.e. for 79,19,429 is 643929

GCF of denominators i.e. for 273,420,410 is 1.

Thus, LCM of Fractions is 643929.Finally, LCM of Fractions for 79/273, 19/420, 429/410 is 643929.