Least Common Multiple of 628/359, 825/316, 579/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 628/359, 825/316, 579/410 quickly i.e. 99993300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 628/359, 825/316, 579/410 is 99993300.

LCM(628/359, 825/316, 579/410) = 99993300

LCM of 628/359, 825/316, 579/410

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 628/359,825/316,579/410

Given numbers are 628/359,825/316,579/410

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 628,825,579

Least Common Multiple of Numerators i.e. LCM of 628,825,579 is 99993300.

GCF of Denominators means GCF of 359,316,410 as per the given fractions.

GCF of 359,316,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 628,825,579

LCM of Fractions 628/359,825/316,579/410 is 99993300

3 628, 825, 579
628, 275, 193

∴ So the LCM of the given numbers is 3 x 628 x 275 x 193 = 99993300

Least Common Multiple of 628,825,579 with GCF Formula

Least Common Multiple of 628,825,579 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 628,825,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,825,579) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(628,825,579) x common factors =1 x 3 = 3

LCM(628,825,579) = ( 628 × 825 × 579 ) / 3

LCM(628,825,579) = 299979900 / 3

LCM(628,825,579) = 99993300


Lets's calculate GCF of 359,316,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99993300/1

Therefore the LCM of Fractions 628/359,825/316,579/410 is 99993300

Greatest Common Factor of 359,316,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,316,410 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 359,316,410 . The biggest common factor number is the GCF number.
So the greatest common factor 359,316,410 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 628/359, 825/316, 579/410

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 628/359, 825/316, 579/410?

Answer: LCM of Numerators as per given numbers 628/359, 825/316, 579/410 is

LCM of Numerators i.e. for 628,825,579 is 99993300

GCF of denominators i.e. for 359,316,410 is 1.

Thus, LCM of Fractions is 99993300.Finally, LCM of Fractions for 628/359, 825/316, 579/410 is 99993300.