Least Common Multiple of 26/334, 46/168, 888/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 26/334, 46/168, 888/756 quickly i.e. 132756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/334, 46/168, 888/756 is 132756.

LCM(26/334, 46/168, 888/756) = 132756

LCM of 26/334, 46/168, 888/756

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 26/334,46/168,888/756

Given numbers are 26/334,46/168,888/756

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 26,46,888

Least Common Multiple of Numerators i.e. LCM of 26,46,888 is 265512.

GCF of Denominators means GCF of 334,168,756 as per the given fractions.

GCF of 334,168,756 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,46,888

LCM of Fractions 26/334,46/168,888/756 is 132756

2 26, 46, 888
13, 23, 444

∴ So the LCM of the given numbers is 2 x 13 x 23 x 444 = 265512

Least Common Multiple of 26,46,888 with GCF Formula

Least Common Multiple of 26,46,888 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 26,46,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,46,888) = 2

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

GCF(26,46,888) x common factors =2 x 2 = 4

LCM(26,46,888) = ( 26 × 46 × 888 ) / 4

LCM(26,46,888) = 1062048 / 4

LCM(26,46,888) = 265512


Lets's calculate GCF of 334,168,756

2 334, 168, 756
167, 84, 378

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265512/2

Therefore the LCM of Fractions 26/334,46/168,888/756 is 132756

Greatest Common Factor of 334,168,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,168,756 By Matching Biggest Common Factor Method

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 334,168,756 . The biggest common factor number is the GCF number.
So the greatest common factor 334,168,756 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 26/334, 46/168, 888/756

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 26/334, 46/168, 888/756?

Answer: LCM of Numerators as per given numbers 26/334, 46/168, 888/756 is

LCM of Numerators i.e. for 26,46,888 is 265512

GCF of denominators i.e. for 334,168,756 is 2.

Thus, LCM of Fractions is 132756.Finally, LCM of Fractions for 26/334, 46/168, 888/756 is 132756.