Least Common Multiple of 684/45, 715/22, 513/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/45, 715/22, 513/345 quickly i.e. 1467180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/45, 715/22, 513/345 is 1467180.

LCM(684/45, 715/22, 513/345) = 1467180

LCM of 684/45, 715/22, 513/345

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 684/45,715/22,513/345

Given numbers are 684/45,715/22,513/345

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 684,715,513

Least Common Multiple of Numerators i.e. LCM of 684,715,513 is 1467180.

GCF of Denominators means GCF of 45,22,345 as per the given fractions.

GCF of 45,22,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,715,513

LCM of Fractions 684/45,715/22,513/345 is 1467180

3 684, 715, 513
3 228, 715, 171
19 76, 715, 57
4, 715, 3

∴ So the LCM of the given numbers is 3 x 3 x 19 x 4 x 715 x 3 = 1467180

Least Common Multiple of 684,715,513 with GCF Formula

Least Common Multiple of 684,715,513 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 684,715,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,715,513) = 1

common factors(in case of two or more numbers have common factors) = 171

GCF(684,715,513) x common factors =1 x 171 = 171

LCM(684,715,513) = ( 684 × 715 × 513 ) / 171

LCM(684,715,513) = 250887780 / 171

LCM(684,715,513) = 1467180


Lets's calculate GCF of 45,22,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1467180/1

Therefore the LCM of Fractions 684/45,715/22,513/345 is 1467180

Greatest Common Factor of 45,22,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,22,345 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 45,22,345 . The biggest common factor number is the GCF number.
So the greatest common factor 45,22,345 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 684/45, 715/22, 513/345

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 684/45, 715/22, 513/345?

Answer: LCM of Numerators as per given numbers 684/45, 715/22, 513/345 is

LCM of Numerators i.e. for 684,715,513 is 1467180

GCF of denominators i.e. for 45,22,345 is 1.

Thus, LCM of Fractions is 1467180.Finally, LCM of Fractions for 684/45, 715/22, 513/345 is 1467180.