Least Common Multiple of 26/79, 58/22, 154/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/79, 58/22, 154/367 quickly i.e. 58058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/79, 58/22, 154/367 is 58058.

LCM(26/79, 58/22, 154/367) = 58058

LCM of 26/79, 58/22, 154/367

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 26/79,58/22,154/367

Given numbers are 26/79,58/22,154/367

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 26,58,154

Least Common Multiple of Numerators i.e. LCM of 26,58,154 is 58058.

GCF of Denominators means GCF of 79,22,367 as per the given fractions.

GCF of 79,22,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,58,154

LCM of Fractions 26/79,58/22,154/367 is 58058

2 26, 58, 154
13, 29, 77

∴ So the LCM of the given numbers is 2 x 13 x 29 x 77 = 58058

Least Common Multiple of 26,58,154 with GCF Formula

Least Common Multiple of 26,58,154 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 26,58,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,58,154) = 2

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

GCF(26,58,154) x common factors =2 x 2 = 4

LCM(26,58,154) = ( 26 × 58 × 154 ) / 4

LCM(26,58,154) = 232232 / 4

LCM(26,58,154) = 58058


Lets's calculate GCF of 79,22,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58058/1

Therefore the LCM of Fractions 26/79,58/22,154/367 is 58058

Greatest Common Factor of 79,22,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,22,367 By Matching Biggest Common Factor Method

Factors of 79

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

1,79

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

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 79,22,367 . The biggest common factor number is the GCF number.
So the greatest common factor 79,22,367 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 26/79, 58/22, 154/367

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 26/79, 58/22, 154/367?

Answer: LCM of Numerators as per given numbers 26/79, 58/22, 154/367 is

LCM of Numerators i.e. for 26,58,154 is 58058

GCF of denominators i.e. for 79,22,367 is 1.

Thus, LCM of Fractions is 58058.Finally, LCM of Fractions for 26/79, 58/22, 154/367 is 58058.