Least Common Multiple of 380/865, 495/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 380/865, 495/720 quickly i.e. 7524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 380/865, 495/720 is 7524.

LCM(380/865, 495/720) = 7524

LCM of 380/865, 495/720

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 380/865,495/720

Given numbers are 380/865,495/720

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 380,495

Least Common Multiple of Numerators i.e. LCM of 380,495 is 37620.

GCF of Denominators means GCF of 865,720 as per the given fractions.

GCF of 865,720 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 380,495

LCM of Fractions 380/865,495/720 is 7524

5 380, 495
76, 99

∴ So the LCM of the given numbers is 5 x 76 x 99 = 37620

Least Common Multiple of 380,495 with GCF Formula

Least Common Multiple of 380,495 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 380,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,495) = 5

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

GCF(380,495) x common factors =5 x 1 = 5

LCM(380,495) = ( 380 × 495 ) / 5

LCM(380,495) = 188100 / 5

LCM(380,495) = 37620


Lets's calculate GCF of 865,720

5 865, 720
173, 144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37620/5

Therefore the LCM of Fractions 380/865,495/720 is 7524

Greatest Common Factor of 865,720 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,720 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Greatest Common Factor

We found the factors 865,720 . The biggest common factor number is the GCF number.
So the greatest common factor 865,720 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 380/865, 495/720

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 380/865, 495/720?

Answer: LCM of Numerators as per given numbers 380/865, 495/720 is

LCM of Numerators i.e. for 380,495 is 37620

GCF of denominators i.e. for 865,720 is 5.

Thus, LCM of Fractions is 7524.Finally, LCM of Fractions for 380/865, 495/720 is 7524.