Least Common Multiple of 44/514, 180/869, 439/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/514, 180/869, 439/572 quickly i.e. 869220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/514, 180/869, 439/572 is 869220.

LCM(44/514, 180/869, 439/572) = 869220

LCM of 44/514, 180/869, 439/572

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 44/514,180/869,439/572

Given numbers are 44/514,180/869,439/572

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 44,180,439

Least Common Multiple of Numerators i.e. LCM of 44,180,439 is 869220.

GCF of Denominators means GCF of 514,869,572 as per the given fractions.

GCF of 514,869,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,180,439

LCM of Fractions 44/514,180/869,439/572 is 869220

2 44, 180, 439
2 22, 90, 439
11, 45, 439

∴ So the LCM of the given numbers is 2 x 2 x 11 x 45 x 439 = 869220

Least Common Multiple of 44,180,439 with GCF Formula

Least Common Multiple of 44,180,439 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 44,180,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,180,439) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(44,180,439) x common factors =1 x 4 = 4

LCM(44,180,439) = ( 44 × 180 × 439 ) / 4

LCM(44,180,439) = 3476880 / 4

LCM(44,180,439) = 869220


Lets's calculate GCF of 514,869,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869220/1

Therefore the LCM of Fractions 44/514,180/869,439/572 is 869220

Greatest Common Factor of 514,869,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,869,572 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1,11,79,869

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 514,869,572 . The biggest common factor number is the GCF number.
So the greatest common factor 514,869,572 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 44/514, 180/869, 439/572

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 44/514, 180/869, 439/572?

Answer: LCM of Numerators as per given numbers 44/514, 180/869, 439/572 is

LCM of Numerators i.e. for 44,180,439 is 869220

GCF of denominators i.e. for 514,869,572 is 1.

Thus, LCM of Fractions is 869220.Finally, LCM of Fractions for 44/514, 180/869, 439/572 is 869220.