Least Common Multiple of 159/704, 3534/7456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/704, 3534/7456 quickly i.e. 187302/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/704, 3534/7456 is 187302/32.

LCM(159/704, 3534/7456) = 187302/32

LCM of 159/704, 3534/7456

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 159/704,3534/7456

Given numbers are 159/704,3534/7456

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 159,3534

Least Common Multiple of Numerators i.e. LCM of 159,3534 is 187302.

GCF of Denominators means GCF of 704,7456 as per the given fractions.

GCF of 704,7456 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,3534

LCM of Fractions 159/704,3534/7456 is 187302/32

3 159, 3534
53, 1178

∴ So the LCM of the given numbers is 3 x 53 x 1178 = 187302

Least Common Multiple of 159,3534 with GCF Formula

Least Common Multiple of 159,3534 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 159,3534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,3534) = 3

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

GCF(159,3534) x common factors =3 x 1 = 3

LCM(159,3534) = ( 159 × 3534 ) / 3

LCM(159,3534) = 561906 / 3

LCM(159,3534) = 187302


Lets's calculate GCF of 704,7456

2 704, 7456
2 352, 3728
2 176, 1864
2 88, 932
2 44, 466
22, 233

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187302/32

Therefore the LCM of Fractions 159/704,3534/7456 is 187302/32

Greatest Common Factor of 704,7456 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,7456 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 7456

List of positive integer factors of 7456 that divides 7456 without a remainder.

1,2,4,8,16,32,233,466,932,1864,3728,7456

Greatest Common Factor

We found the factors 704,7456 . The biggest common factor number is the GCF number.
So the greatest common factor 704,7456 is 32.


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 159/704, 3534/7456

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 159/704, 3534/7456?

Answer: LCM of Numerators as per given numbers 159/704, 3534/7456 is

LCM of Numerators i.e. for 159,3534 is 187302

GCF of denominators i.e. for 704,7456 is 32.

Thus, LCM of Fractions is 187302/32.Finally, LCM of Fractions for 159/704, 3534/7456 is 187302/32.