Least Common Multiple of 390/612, 7040/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/612, 7040/629 quickly i.e. 274560/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/612, 7040/629 is 274560/17.

LCM(390/612, 7040/629) = 274560/17

LCM of 390/612, 7040/629

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 390/612,7040/629

Given numbers are 390/612,7040/629

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 390,7040

Least Common Multiple of Numerators i.e. LCM of 390,7040 is 274560.

GCF of Denominators means GCF of 612,629 as per the given fractions.

GCF of 612,629 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,7040

LCM of Fractions 390/612,7040/629 is 274560/17

2 390, 7040
5 195, 3520
39, 704

∴ So the LCM of the given numbers is 2 x 5 x 39 x 704 = 274560

Least Common Multiple of 390,7040 with GCF Formula

Least Common Multiple of 390,7040 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 390,7040 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,7040) = 10

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

GCF(390,7040) x common factors =10 x 1 = 10

LCM(390,7040) = ( 390 × 7040 ) / 10

LCM(390,7040) = 2745600 / 10

LCM(390,7040) = 274560


Lets's calculate GCF of 612,629

17 612, 629
36, 37

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274560/17

Therefore the LCM of Fractions 390/612,7040/629 is 274560/17

Greatest Common Factor of 612,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,629 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 612,629 . The biggest common factor number is the GCF number.
So the greatest common factor 612,629 is 17.


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 390/612, 7040/629

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 390/612, 7040/629?

Answer: LCM of Numerators as per given numbers 390/612, 7040/629 is

LCM of Numerators i.e. for 390,7040 is 274560

GCF of denominators i.e. for 612,629 is 17.

Thus, LCM of Fractions is 274560/17.Finally, LCM of Fractions for 390/612, 7040/629 is 274560/17.