Least Common Multiple of 315/18, 656/36, 693/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/18, 656/36, 693/710 quickly i.e. 1136520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/18, 656/36, 693/710 is 1136520.

LCM(315/18, 656/36, 693/710) = 1136520

LCM of 315/18, 656/36, 693/710

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 315/18,656/36,693/710

Given numbers are 315/18,656/36,693/710

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 315,656,693

Least Common Multiple of Numerators i.e. LCM of 315,656,693 is 2273040.

GCF of Denominators means GCF of 18,36,710 as per the given fractions.

GCF of 18,36,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,656,693

LCM of Fractions 315/18,656/36,693/710 is 1136520

3 315, 656, 693
3 105, 656, 231
7 35, 656, 77
5, 656, 11

∴ So the LCM of the given numbers is 3 x 3 x 7 x 5 x 656 x 11 = 2273040

Least Common Multiple of 315,656,693 with GCF Formula

Least Common Multiple of 315,656,693 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 315,656,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,656,693) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(315,656,693) x common factors =1 x 63 = 63

LCM(315,656,693) = ( 315 × 656 × 693 ) / 63

LCM(315,656,693) = 143201520 / 63

LCM(315,656,693) = 2273040


Lets's calculate GCF of 18,36,710

2 18, 36, 710
9, 18, 355

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2273040/2

Therefore the LCM of Fractions 315/18,656/36,693/710 is 1136520

Greatest Common Factor of 18,36,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,36,710 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 18,36,710 . The biggest common factor number is the GCF number.
So the greatest common factor 18,36,710 is 2.


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 315/18, 656/36, 693/710

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 315/18, 656/36, 693/710?

Answer: LCM of Numerators as per given numbers 315/18, 656/36, 693/710 is

LCM of Numerators i.e. for 315,656,693 is 2273040

GCF of denominators i.e. for 18,36,710 is 2.

Thus, LCM of Fractions is 1136520.Finally, LCM of Fractions for 315/18, 656/36, 693/710 is 1136520.