Least Common Multiple of 518/44, 595/62, 280/75

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/44, 595/62, 280/75 quickly i.e. 176120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/44, 595/62, 280/75 is 176120.

LCM(518/44, 595/62, 280/75) = 176120

LCM of 518/44, 595/62, 280/75

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 518/44,595/62,280/75

Given numbers are 518/44,595/62,280/75

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 518,595,280

Least Common Multiple of Numerators i.e. LCM of 518,595,280 is 176120.

GCF of Denominators means GCF of 44,62,75 as per the given fractions.

GCF of 44,62,75 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,595,280

LCM of Fractions 518/44,595/62,280/75 is 176120

2 518, 595, 280
5 259, 595, 140
7 259, 119, 28
37, 17, 4

∴ So the LCM of the given numbers is 2 x 5 x 7 x 37 x 17 x 4 = 176120

Least Common Multiple of 518,595,280 with GCF Formula

Least Common Multiple of 518,595,280 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 518,595,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,595,280) = 7

common factors(in case of two or more numbers have common factors) = 70

GCF(518,595,280) x common factors =7 x 70 = 490

LCM(518,595,280) = ( 518 × 595 × 280 ) / 490

LCM(518,595,280) = 86298800 / 490

LCM(518,595,280) = 176120


Lets's calculate GCF of 44,62,75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176120/1

Therefore the LCM of Fractions 518/44,595/62,280/75 is 176120

Greatest Common Factor of 44,62,75 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,62,75 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Greatest Common Factor

We found the factors 44,62,75 . The biggest common factor number is the GCF number.
So the greatest common factor 44,62,75 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 518/44, 595/62, 280/75

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 518/44, 595/62, 280/75?

Answer: LCM of Numerators as per given numbers 518/44, 595/62, 280/75 is

LCM of Numerators i.e. for 518,595,280 is 176120

GCF of denominators i.e. for 44,62,75 is 1.

Thus, LCM of Fractions is 176120.Finally, LCM of Fractions for 518/44, 595/62, 280/75 is 176120.