Least Common Multiple of 256/74, 642/61, 117/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 256/74, 642/61, 117/367 quickly i.e. 3204864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 256/74, 642/61, 117/367 is 3204864.

LCM(256/74, 642/61, 117/367) = 3204864

LCM of 256/74, 642/61, 117/367

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 256/74,642/61,117/367

Given numbers are 256/74,642/61,117/367

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 256,642,117

Least Common Multiple of Numerators i.e. LCM of 256,642,117 is 3204864.

GCF of Denominators means GCF of 74,61,367 as per the given fractions.

GCF of 74,61,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 256,642,117

LCM of Fractions 256/74,642/61,117/367 is 3204864

2 256, 642, 117
3 128, 321, 117
128, 107, 39

∴ So the LCM of the given numbers is 2 x 3 x 128 x 107 x 39 = 3204864

Least Common Multiple of 256,642,117 with GCF Formula

Least Common Multiple of 256,642,117 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 256,642,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,642,117) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(256,642,117) x common factors =1 x 6 = 6

LCM(256,642,117) = ( 256 × 642 × 117 ) / 6

LCM(256,642,117) = 19229184 / 6

LCM(256,642,117) = 3204864


Lets's calculate GCF of 74,61,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3204864/1

Therefore the LCM of Fractions 256/74,642/61,117/367 is 3204864

Greatest Common Factor of 74,61,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,61,367 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 74,61,367 . The biggest common factor number is the GCF number.
So the greatest common factor 74,61,367 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 256/74, 642/61, 117/367

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 256/74, 642/61, 117/367?

Answer: LCM of Numerators as per given numbers 256/74, 642/61, 117/367 is

LCM of Numerators i.e. for 256,642,117 is 3204864

GCF of denominators i.e. for 74,61,367 is 1.

Thus, LCM of Fractions is 3204864.Finally, LCM of Fractions for 256/74, 642/61, 117/367 is 3204864.