Least Common Multiple of 648/714, 318/693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/714, 318/693 quickly i.e. 34344/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/714, 318/693 is 34344/21.

LCM(648/714, 318/693) = 34344/21

LCM of 648/714, 318/693

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 648/714,318/693

Given numbers are 648/714,318/693

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 648,318

Least Common Multiple of Numerators i.e. LCM of 648,318 is 34344.

GCF of Denominators means GCF of 714,693 as per the given fractions.

GCF of 714,693 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,318

LCM of Fractions 648/714,318/693 is 34344/21

2 648, 318
3 324, 159
108, 53

∴ So the LCM of the given numbers is 2 x 3 x 108 x 53 = 34344

Least Common Multiple of 648,318 with GCF Formula

Least Common Multiple of 648,318 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 648,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,318) = 6

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

GCF(648,318) x common factors =6 x 1 = 6

LCM(648,318) = ( 648 × 318 ) / 6

LCM(648,318) = 206064 / 6

LCM(648,318) = 34344


Lets's calculate GCF of 714,693

3 714, 693
7 238, 231
34, 33

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34344/21

Therefore the LCM of Fractions 648/714,318/693 is 34344/21

Greatest Common Factor of 714,693 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,693 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 714,693 . The biggest common factor number is the GCF number.
So the greatest common factor 714,693 is 21.


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 648/714, 318/693

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 648/714, 318/693?

Answer: LCM of Numerators as per given numbers 648/714, 318/693 is

LCM of Numerators i.e. for 648,318 is 34344

GCF of denominators i.e. for 714,693 is 21.

Thus, LCM of Fractions is 34344/21.Finally, LCM of Fractions for 648/714, 318/693 is 34344/21.