Least Common Multiple of 45/79, 53/51, 362/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/79, 53/51, 362/578 quickly i.e. 863370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/79, 53/51, 362/578 is 863370.

LCM(45/79, 53/51, 362/578) = 863370

LCM of 45/79, 53/51, 362/578

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 45/79,53/51,362/578

Given numbers are 45/79,53/51,362/578

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 45,53,362

Least Common Multiple of Numerators i.e. LCM of 45,53,362 is 863370.

GCF of Denominators means GCF of 79,51,578 as per the given fractions.

GCF of 79,51,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,53,362

LCM of Fractions 45/79,53/51,362/578 is 863370

Given numbers has no common factors except 1. So, there LCM is their product i.e 863370

Least Common Multiple of 45,53,362 with GCF Formula

Least Common Multiple of 45,53,362 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 45,53,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,53,362) = 1

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

GCF(45,53,362) x common factors =1 x 1 = 1

LCM(45,53,362) = ( 45 × 53 × 362 ) / 1

LCM(45,53,362) = 863370 / 1

LCM(45,53,362) = 863370


Lets's calculate GCF of 79,51,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 863370/1

Therefore the LCM of Fractions 45/79,53/51,362/578 is 863370

Greatest Common Factor of 79,51,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,51,578 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 79,51,578 . The biggest common factor number is the GCF number.
So the greatest common factor 79,51,578 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 45/79, 53/51, 362/578

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 45/79, 53/51, 362/578?

Answer: LCM of Numerators as per given numbers 45/79, 53/51, 362/578 is

LCM of Numerators i.e. for 45,53,362 is 863370

GCF of denominators i.e. for 79,51,578 is 1.

Thus, LCM of Fractions is 863370.Finally, LCM of Fractions for 45/79, 53/51, 362/578 is 863370.