Least Common Multiple of 5780/960, 8515/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5780/960, 8515/380 quickly i.e. 492167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5780/960, 8515/380 is 492167.

LCM(5780/960, 8515/380) = 492167

LCM of 5780/960, 8515/380

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 5780/960,8515/380

Given numbers are 5780/960,8515/380

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 5780,8515

Least Common Multiple of Numerators i.e. LCM of 5780,8515 is 9843340.

GCF of Denominators means GCF of 960,380 as per the given fractions.

GCF of 960,380 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5780,8515

LCM of Fractions 5780/960,8515/380 is 492167

5 5780, 8515
1156, 1703

∴ So the LCM of the given numbers is 5 x 1156 x 1703 = 9843340

Least Common Multiple of 5780,8515 with GCF Formula

Least Common Multiple of 5780,8515 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 5780,8515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5780,8515) = 5

common factors(in case of two or more numbers have common factors) = 1

GCF(5780,8515) x common factors =5 x 1 = 5

LCM(5780,8515) = ( 5780 × 8515 ) / 5

LCM(5780,8515) = 49216700 / 5

LCM(5780,8515) = 9843340


Lets's calculate GCF of 960,380

2 960, 380
2 480, 190
5 240, 95
48, 19

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9843340/20

Therefore the LCM of Fractions 5780/960,8515/380 is 492167

Greatest Common Factor of 960,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,380 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 960,380 . The biggest common factor number is the GCF number.
So the greatest common factor 960,380 is 20.


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 5780/960, 8515/380

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 5780/960, 8515/380?

Answer: LCM of Numerators as per given numbers 5780/960, 8515/380 is

LCM of Numerators i.e. for 5780,8515 is 9843340

GCF of denominators i.e. for 960,380 is 20.

Thus, LCM of Fractions is 492167.Finally, LCM of Fractions for 5780/960, 8515/380 is 492167.