Least Common Multiple of 5280/565, 7668/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5280/565, 7668/380 quickly i.e. 674784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5280/565, 7668/380 is 674784.

LCM(5280/565, 7668/380) = 674784

LCM of 5280/565, 7668/380

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 5280/565,7668/380

Given numbers are 5280/565,7668/380

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 5280,7668

Least Common Multiple of Numerators i.e. LCM of 5280,7668 is 3373920.

GCF of Denominators means GCF of 565,380 as per the given fractions.

GCF of 565,380 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5280,7668

LCM of Fractions 5280/565,7668/380 is 674784

2 5280, 7668
2 2640, 3834
3 1320, 1917
440, 639

∴ So the LCM of the given numbers is 2 x 2 x 3 x 440 x 639 = 3373920

Least Common Multiple of 5280,7668 with GCF Formula

Least Common Multiple of 5280,7668 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 5280,7668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5280,7668) = 12

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

GCF(5280,7668) x common factors =12 x 1 = 12

LCM(5280,7668) = ( 5280 × 7668 ) / 12

LCM(5280,7668) = 40487040 / 12

LCM(5280,7668) = 3373920


Lets's calculate GCF of 565,380

5 565, 380
113, 76

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3373920/5

Therefore the LCM of Fractions 5280/565,7668/380 is 674784

Greatest Common Factor of 565,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,380 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

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 565,380 . The biggest common factor number is the GCF number.
So the greatest common factor 565,380 is 5.


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 5280/565, 7668/380

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 5280/565, 7668/380?

Answer: LCM of Numerators as per given numbers 5280/565, 7668/380 is

LCM of Numerators i.e. for 5280,7668 is 3373920

GCF of denominators i.e. for 565,380 is 5.

Thus, LCM of Fractions is 674784.Finally, LCM of Fractions for 5280/565, 7668/380 is 674784.