Least Common Multiple of 138/894, 526/857, 794/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/894, 526/857, 794/708 quickly i.e. 14408718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/894, 526/857, 794/708 is 14408718.

LCM(138/894, 526/857, 794/708) = 14408718

LCM of 138/894, 526/857, 794/708

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 138/894,526/857,794/708

Given numbers are 138/894,526/857,794/708

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 138,526,794

Least Common Multiple of Numerators i.e. LCM of 138,526,794 is 14408718.

GCF of Denominators means GCF of 894,857,708 as per the given fractions.

GCF of 894,857,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,526,794

LCM of Fractions 138/894,526/857,794/708 is 14408718

2 138, 526, 794
69, 263, 397

∴ So the LCM of the given numbers is 2 x 69 x 263 x 397 = 14408718

Least Common Multiple of 138,526,794 with GCF Formula

Least Common Multiple of 138,526,794 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 138,526,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,526,794) = 2

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

GCF(138,526,794) x common factors =2 x 2 = 4

LCM(138,526,794) = ( 138 × 526 × 794 ) / 4

LCM(138,526,794) = 57634872 / 4

LCM(138,526,794) = 14408718


Lets's calculate GCF of 894,857,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14408718/1

Therefore the LCM of Fractions 138/894,526/857,794/708 is 14408718

Greatest Common Factor of 894,857,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,857,708 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 894,857,708 . The biggest common factor number is the GCF number.
So the greatest common factor 894,857,708 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 138/894, 526/857, 794/708

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 138/894, 526/857, 794/708?

Answer: LCM of Numerators as per given numbers 138/894, 526/857, 794/708 is

LCM of Numerators i.e. for 138,526,794 is 14408718

GCF of denominators i.e. for 894,857,708 is 1.

Thus, LCM of Fractions is 14408718.Finally, LCM of Fractions for 138/894, 526/857, 794/708 is 14408718.