Least Common Multiple of 684/25, 360/38, 515/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/25, 360/38, 515/338 quickly i.e. 704520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/25, 360/38, 515/338 is 704520.

LCM(684/25, 360/38, 515/338) = 704520

LCM of 684/25, 360/38, 515/338

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 684/25,360/38,515/338

Given numbers are 684/25,360/38,515/338

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 684,360,515

Least Common Multiple of Numerators i.e. LCM of 684,360,515 is 704520.

GCF of Denominators means GCF of 25,38,338 as per the given fractions.

GCF of 25,38,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,360,515

LCM of Fractions 684/25,360/38,515/338 is 704520

2 684, 360, 515
2 342, 180, 515
3 171, 90, 515
3 57, 30, 515
5 19, 10, 515
19, 2, 103

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 19 x 2 x 103 = 704520

Least Common Multiple of 684,360,515 with GCF Formula

Least Common Multiple of 684,360,515 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 684,360,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,360,515) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(684,360,515) x common factors =1 x 180 = 180

LCM(684,360,515) = ( 684 × 360 × 515 ) / 180

LCM(684,360,515) = 126813600 / 180

LCM(684,360,515) = 704520


Lets's calculate GCF of 25,38,338

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704520/1

Therefore the LCM of Fractions 684/25,360/38,515/338 is 704520

Greatest Common Factor of 25,38,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,38,338 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 25,38,338 . The biggest common factor number is the GCF number.
So the greatest common factor 25,38,338 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 684/25, 360/38, 515/338

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 684/25, 360/38, 515/338?

Answer: LCM of Numerators as per given numbers 684/25, 360/38, 515/338 is

LCM of Numerators i.e. for 684,360,515 is 704520

GCF of denominators i.e. for 25,38,338 is 1.

Thus, LCM of Fractions is 704520.Finally, LCM of Fractions for 684/25, 360/38, 515/338 is 704520.