Least Common Multiple of 34/63, 35/71, 99/79, 32/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/63, 35/71, 99/79, 32/256 quickly i.e. 1884960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/63, 35/71, 99/79, 32/256 is 1884960.

LCM(34/63, 35/71, 99/79, 32/256) = 1884960

LCM of 34/63, 35/71, 99/79, 32/256

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 34/63,35/71,99/79,32/256

Given numbers are 34/63,35/71,99/79,32/256

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 34,35,99,32

Least Common Multiple of Numerators i.e. LCM of 34,35,99,32 is 1884960.

GCF of Denominators means GCF of 63,71,79,256 as per the given fractions.

GCF of 63,71,79,256 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,35,99,32

LCM of Fractions 34/63,35/71,99/79,32/256 is 1884960

2 34, 35, 99, 32
17, 35, 99, 16

∴ So the LCM of the given numbers is 2 x 17 x 35 x 99 x 16 = 1884960

Least Common Multiple of 34,35,99,32 with GCF Formula

Least Common Multiple of 34,35,99,32 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 34,35,99,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,35,99,32) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(34,35,99,32) x common factors =1 x 2 = 2

LCM(34,35,99,32) = ( 34 × 35 × 99 × 32 ) / 2

LCM(34,35,99,32) = 3769920 / 2

LCM(34,35,99,32) = 1884960


Lets's calculate GCF of 63,71,79,256

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1884960/1

Therefore the LCM of Fractions 34/63,35/71,99/79,32/256 is 1884960

Greatest Common Factor of 63,71,79,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,71,79,256 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 63,71,79,256 . The biggest common factor number is the GCF number.
So the greatest common factor 63,71,79,256 is 1.


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 34/63, 35/71, 99/79, 32/256

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 34/63, 35/71, 99/79, 32/256?

Answer: LCM of Numerators as per given numbers 34/63, 35/71, 99/79, 32/256 is

LCM of Numerators i.e. for 34,35,99,32 is 1884960

GCF of denominators i.e. for 63,71,79,256 is 1.

Thus, LCM of Fractions is 1884960.Finally, LCM of Fractions for 34/63, 35/71, 99/79, 32/256 is 1884960.