Least Common Multiple of 116/628, 580/999, 465/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/628, 580/999, 465/284 quickly i.e. 53940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/628, 580/999, 465/284 is 53940.

LCM(116/628, 580/999, 465/284) = 53940

LCM of 116/628, 580/999, 465/284

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 116/628,580/999,465/284

Given numbers are 116/628,580/999,465/284

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 116,580,465

Least Common Multiple of Numerators i.e. LCM of 116,580,465 is 53940.

GCF of Denominators means GCF of 628,999,284 as per the given fractions.

GCF of 628,999,284 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,580,465

LCM of Fractions 116/628,580/999,465/284 is 53940

2 116, 580, 465
2 58, 290, 465
5 29, 145, 465
29 29, 29, 93
1, 1, 93

∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 1 x 1 x 93 = 53940

Least Common Multiple of 116,580,465 with GCF Formula

Least Common Multiple of 116,580,465 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 116,580,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,580,465) = 1

common factors(in case of two or more numbers have common factors) = 580

GCF(116,580,465) x common factors =1 x 580 = 580

LCM(116,580,465) = ( 116 × 580 × 465 ) / 580

LCM(116,580,465) = 31285200 / 580

LCM(116,580,465) = 53940


Lets's calculate GCF of 628,999,284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53940/1

Therefore the LCM of Fractions 116/628,580/999,465/284 is 53940

Greatest Common Factor of 628,999,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,999,284 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 628,999,284 . The biggest common factor number is the GCF number.
So the greatest common factor 628,999,284 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 116/628, 580/999, 465/284

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 116/628, 580/999, 465/284?

Answer: LCM of Numerators as per given numbers 116/628, 580/999, 465/284 is

LCM of Numerators i.e. for 116,580,465 is 53940

GCF of denominators i.e. for 628,999,284 is 1.

Thus, LCM of Fractions is 53940.Finally, LCM of Fractions for 116/628, 580/999, 465/284 is 53940.