Least Common Multiple of 868/194, 914/896, 787/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/194, 914/896, 787/626 quickly i.e. 156092006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/194, 914/896, 787/626 is 156092006.

LCM(868/194, 914/896, 787/626) = 156092006

LCM of 868/194, 914/896, 787/626

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 868/194,914/896,787/626

Given numbers are 868/194,914/896,787/626

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 868,914,787

Least Common Multiple of Numerators i.e. LCM of 868,914,787 is 312184012.

GCF of Denominators means GCF of 194,896,626 as per the given fractions.

GCF of 194,896,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,914,787

LCM of Fractions 868/194,914/896,787/626 is 156092006

2 868, 914, 787
434, 457, 787

∴ So the LCM of the given numbers is 2 x 434 x 457 x 787 = 312184012

Least Common Multiple of 868,914,787 with GCF Formula

Least Common Multiple of 868,914,787 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 868,914,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,914,787) = 1

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

GCF(868,914,787) x common factors =1 x 2 = 2

LCM(868,914,787) = ( 868 × 914 × 787 ) / 2

LCM(868,914,787) = 624368024 / 2

LCM(868,914,787) = 312184012


Lets's calculate GCF of 194,896,626

2 194, 896, 626
97, 448, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312184012/2

Therefore the LCM of Fractions 868/194,914/896,787/626 is 156092006

Greatest Common Factor of 194,896,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 194,896,626 By Matching Biggest Common Factor Method

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 194,896,626 . The biggest common factor number is the GCF number.
So the greatest common factor 194,896,626 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 868/194, 914/896, 787/626

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 868/194, 914/896, 787/626?

Answer: LCM of Numerators as per given numbers 868/194, 914/896, 787/626 is

LCM of Numerators i.e. for 868,914,787 is 312184012

GCF of denominators i.e. for 194,896,626 is 2.

Thus, LCM of Fractions is 156092006.Finally, LCM of Fractions for 868/194, 914/896, 787/626 is 156092006.