Least Common Multiple of 704/624, 8067/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/624, 8067/708 quickly i.e. 473264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/624, 8067/708 is 473264.

LCM(704/624, 8067/708) = 473264

LCM of 704/624, 8067/708

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 704/624,8067/708

Given numbers are 704/624,8067/708

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 704,8067

Least Common Multiple of Numerators i.e. LCM of 704,8067 is 5679168.

GCF of Denominators means GCF of 624,708 as per the given fractions.

GCF of 624,708 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,8067

LCM of Fractions 704/624,8067/708 is 473264

Given numbers has no common factors except 1. So, there LCM is their product i.e 5679168

Least Common Multiple of 704,8067 with GCF Formula

Least Common Multiple of 704,8067 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 704,8067 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,8067) = 1

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

GCF(704,8067) x common factors =1 x 1 = 1

LCM(704,8067) = ( 704 × 8067 ) / 1

LCM(704,8067) = 5679168 / 1

LCM(704,8067) = 5679168


Lets's calculate GCF of 624,708

2 624, 708
2 312, 354
3 156, 177
52, 59

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5679168/12

Therefore the LCM of Fractions 704/624,8067/708 is 473264

Greatest Common Factor of 624,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,708 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 624,708 . The biggest common factor number is the GCF number.
So the greatest common factor 624,708 is 12.


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 704/624, 8067/708

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 704/624, 8067/708?

Answer: LCM of Numerators as per given numbers 704/624, 8067/708 is

LCM of Numerators i.e. for 704,8067 is 5679168

GCF of denominators i.e. for 624,708 is 12.

Thus, LCM of Fractions is 473264.Finally, LCM of Fractions for 704/624, 8067/708 is 473264.