Least Common Multiple of 45/577, 423/789, 418/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/577, 423/789, 418/883 quickly i.e. 884070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/577, 423/789, 418/883 is 884070.

LCM(45/577, 423/789, 418/883) = 884070

LCM of 45/577, 423/789, 418/883

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 45/577,423/789,418/883

Given numbers are 45/577,423/789,418/883

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 45,423,418

Least Common Multiple of Numerators i.e. LCM of 45,423,418 is 884070.

GCF of Denominators means GCF of 577,789,883 as per the given fractions.

GCF of 577,789,883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,423,418

LCM of Fractions 45/577,423/789,418/883 is 884070

3 45, 423, 418
3 15, 141, 418
5, 47, 418

∴ So the LCM of the given numbers is 3 x 3 x 5 x 47 x 418 = 884070

Least Common Multiple of 45,423,418 with GCF Formula

Least Common Multiple of 45,423,418 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 45,423,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,423,418) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(45,423,418) x common factors =1 x 9 = 9

LCM(45,423,418) = ( 45 × 423 × 418 ) / 9

LCM(45,423,418) = 7956630 / 9

LCM(45,423,418) = 884070


Lets's calculate GCF of 577,789,883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 884070/1

Therefore the LCM of Fractions 45/577,423/789,418/883 is 884070

Greatest Common Factor of 577,789,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,789,883 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 577,789,883 . The biggest common factor number is the GCF number.
So the greatest common factor 577,789,883 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 45/577, 423/789, 418/883

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 45/577, 423/789, 418/883?

Answer: LCM of Numerators as per given numbers 45/577, 423/789, 418/883 is

LCM of Numerators i.e. for 45,423,418 is 884070

GCF of denominators i.e. for 577,789,883 is 1.

Thus, LCM of Fractions is 884070.Finally, LCM of Fractions for 45/577, 423/789, 418/883 is 884070.