Least Common Multiple of 390/45, 674/79, 696/78

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/45, 674/79, 696/78 quickly i.e. 15245880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/45, 674/79, 696/78 is 15245880.

LCM(390/45, 674/79, 696/78) = 15245880

LCM of 390/45, 674/79, 696/78

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 390/45,674/79,696/78

Given numbers are 390/45,674/79,696/78

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 390,674,696

Least Common Multiple of Numerators i.e. LCM of 390,674,696 is 15245880.

GCF of Denominators means GCF of 45,79,78 as per the given fractions.

GCF of 45,79,78 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,674,696

LCM of Fractions 390/45,674/79,696/78 is 15245880

2 390, 674, 696
3 195, 337, 348
65, 337, 116

∴ So the LCM of the given numbers is 2 x 3 x 65 x 337 x 116 = 15245880

Least Common Multiple of 390,674,696 with GCF Formula

Least Common Multiple of 390,674,696 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 390,674,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,674,696) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(390,674,696) x common factors =2 x 6 = 12

LCM(390,674,696) = ( 390 × 674 × 696 ) / 12

LCM(390,674,696) = 182950560 / 12

LCM(390,674,696) = 15245880


Lets's calculate GCF of 45,79,78

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15245880/1

Therefore the LCM of Fractions 390/45,674/79,696/78 is 15245880

Greatest Common Factor of 45,79,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,79,78 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 45,79,78 . The biggest common factor number is the GCF number.
So the greatest common factor 45,79,78 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 390/45, 674/79, 696/78

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 390/45, 674/79, 696/78?

Answer: LCM of Numerators as per given numbers 390/45, 674/79, 696/78 is

LCM of Numerators i.e. for 390,674,696 is 15245880

GCF of denominators i.e. for 45,79,78 is 1.

Thus, LCM of Fractions is 15245880.Finally, LCM of Fractions for 390/45, 674/79, 696/78 is 15245880.