Least Common Multiple of 44/15, 778/27, 101/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/15, 778/27, 101/258 quickly i.e. 1728716/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/15, 778/27, 101/258 is 1728716/3.

LCM(44/15, 778/27, 101/258) = 1728716/3

LCM of 44/15, 778/27, 101/258

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 44/15,778/27,101/258

Given numbers are 44/15,778/27,101/258

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 44,778,101

Least Common Multiple of Numerators i.e. LCM of 44,778,101 is 1728716.

GCF of Denominators means GCF of 15,27,258 as per the given fractions.

GCF of 15,27,258 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,778,101

LCM of Fractions 44/15,778/27,101/258 is 1728716/3

2 44, 778, 101
22, 389, 101

∴ So the LCM of the given numbers is 2 x 22 x 389 x 101 = 1728716

Least Common Multiple of 44,778,101 with GCF Formula

Least Common Multiple of 44,778,101 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 44,778,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,778,101) = 1

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

GCF(44,778,101) x common factors =1 x 2 = 2

LCM(44,778,101) = ( 44 × 778 × 101 ) / 2

LCM(44,778,101) = 3457432 / 2

LCM(44,778,101) = 1728716


Lets's calculate GCF of 15,27,258

3 15, 27, 258
5, 9, 86

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1728716/3

Therefore the LCM of Fractions 44/15,778/27,101/258 is 1728716/3

Greatest Common Factor of 15,27,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,27,258 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 15,27,258 . The biggest common factor number is the GCF number.
So the greatest common factor 15,27,258 is 3.


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 44/15, 778/27, 101/258

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 44/15, 778/27, 101/258?

Answer: LCM of Numerators as per given numbers 44/15, 778/27, 101/258 is

LCM of Numerators i.e. for 44,778,101 is 1728716

GCF of denominators i.e. for 15,27,258 is 3.

Thus, LCM of Fractions is 1728716/3.Finally, LCM of Fractions for 44/15, 778/27, 101/258 is 1728716/3.