Least Common Multiple of 82/68, 780/65, 575/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/68, 780/65, 575/120 quickly i.e. 3677700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/68, 780/65, 575/120 is 3677700.

LCM(82/68, 780/65, 575/120) = 3677700

LCM of 82/68, 780/65, 575/120

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 82/68,780/65,575/120

Given numbers are 82/68,780/65,575/120

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 82,780,575

Least Common Multiple of Numerators i.e. LCM of 82,780,575 is 3677700.

GCF of Denominators means GCF of 68,65,120 as per the given fractions.

GCF of 68,65,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,780,575

LCM of Fractions 82/68,780/65,575/120 is 3677700

2 82, 780, 575
5 41, 390, 575
41, 78, 115

∴ So the LCM of the given numbers is 2 x 5 x 41 x 78 x 115 = 3677700

Least Common Multiple of 82,780,575 with GCF Formula

Least Common Multiple of 82,780,575 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 82,780,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,780,575) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(82,780,575) x common factors =1 x 10 = 10

LCM(82,780,575) = ( 82 × 780 × 575 ) / 10

LCM(82,780,575) = 36777000 / 10

LCM(82,780,575) = 3677700


Lets's calculate GCF of 68,65,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3677700/1

Therefore the LCM of Fractions 82/68,780/65,575/120 is 3677700

Greatest Common Factor of 68,65,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,65,120 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 68,65,120 . The biggest common factor number is the GCF number.
So the greatest common factor 68,65,120 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 82/68, 780/65, 575/120

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 82/68, 780/65, 575/120?

Answer: LCM of Numerators as per given numbers 82/68, 780/65, 575/120 is

LCM of Numerators i.e. for 82,780,575 is 3677700

GCF of denominators i.e. for 68,65,120 is 1.

Thus, LCM of Fractions is 3677700.Finally, LCM of Fractions for 82/68, 780/65, 575/120 is 3677700.