Least Common Multiple of 26/158, 24/702, 306/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/158, 24/702, 306/110 quickly i.e. 7956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/158, 24/702, 306/110 is 7956.

LCM(26/158, 24/702, 306/110) = 7956

LCM of 26/158, 24/702, 306/110

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 26/158,24/702,306/110

Given numbers are 26/158,24/702,306/110

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 26,24,306

Least Common Multiple of Numerators i.e. LCM of 26,24,306 is 15912.

GCF of Denominators means GCF of 158,702,110 as per the given fractions.

GCF of 158,702,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,24,306

LCM of Fractions 26/158,24/702,306/110 is 7956

2 26, 24, 306
3 13, 12, 153
13, 4, 51

∴ So the LCM of the given numbers is 2 x 3 x 13 x 4 x 51 = 15912

Least Common Multiple of 26,24,306 with GCF Formula

Least Common Multiple of 26,24,306 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 26,24,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,24,306) = 2

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

GCF(26,24,306) x common factors =2 x 6 = 12

LCM(26,24,306) = ( 26 × 24 × 306 ) / 12

LCM(26,24,306) = 190944 / 12

LCM(26,24,306) = 15912


Lets's calculate GCF of 158,702,110

2 158, 702, 110
79, 351, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15912/2

Therefore the LCM of Fractions 26/158,24/702,306/110 is 7956

Greatest Common Factor of 158,702,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,702,110 By Matching Biggest Common Factor Method

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 158,702,110 . The biggest common factor number is the GCF number.
So the greatest common factor 158,702,110 is 2.


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 26/158, 24/702, 306/110

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 26/158, 24/702, 306/110?

Answer: LCM of Numerators as per given numbers 26/158, 24/702, 306/110 is

LCM of Numerators i.e. for 26,24,306 is 15912

GCF of denominators i.e. for 158,702,110 is 2.

Thus, LCM of Fractions is 7956.Finally, LCM of Fractions for 26/158, 24/702, 306/110 is 7956.