Least Common Multiple of 71/787, 333/312, 137/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/787, 333/312, 137/894 quickly i.e. 3239091 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/787, 333/312, 137/894 is 3239091.

LCM(71/787, 333/312, 137/894) = 3239091

LCM of 71/787, 333/312, 137/894

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 71/787,333/312,137/894

Given numbers are 71/787,333/312,137/894

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 71,333,137

Least Common Multiple of Numerators i.e. LCM of 71,333,137 is 3239091.

GCF of Denominators means GCF of 787,312,894 as per the given fractions.

GCF of 787,312,894 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,333,137

LCM of Fractions 71/787,333/312,137/894 is 3239091

Given numbers has no common factors except 1. So, there LCM is their product i.e 3239091

Least Common Multiple of 71,333,137 with GCF Formula

Least Common Multiple of 71,333,137 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 71,333,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,333,137) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,333,137) x common factors =1 x 1 = 1

LCM(71,333,137) = ( 71 × 333 × 137 ) / 1

LCM(71,333,137) = 3239091 / 1

LCM(71,333,137) = 3239091


Lets's calculate GCF of 787,312,894

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3239091/1

Therefore the LCM of Fractions 71/787,333/312,137/894 is 3239091

Greatest Common Factor of 787,312,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,312,894 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 894

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

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

Greatest Common Factor

We found the factors 787,312,894 . The biggest common factor number is the GCF number.
So the greatest common factor 787,312,894 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 71/787, 333/312, 137/894

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 71/787, 333/312, 137/894?

Answer: LCM of Numerators as per given numbers 71/787, 333/312, 137/894 is

LCM of Numerators i.e. for 71,333,137 is 3239091

GCF of denominators i.e. for 787,312,894 is 1.

Thus, LCM of Fractions is 3239091.Finally, LCM of Fractions for 71/787, 333/312, 137/894 is 3239091.