Least Common Multiple of 914/20, 717/1492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 914/20, 717/1492 quickly i.e. 655338/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 914/20, 717/1492 is 655338/4.

LCM(914/20, 717/1492) = 655338/4

LCM of 914/20, 717/1492

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 914/20,717/1492

Given numbers are 914/20,717/1492

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 914,717

Least Common Multiple of Numerators i.e. LCM of 914,717 is 655338.

GCF of Denominators means GCF of 20,1492 as per the given fractions.

GCF of 20,1492 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 914,717

LCM of Fractions 914/20,717/1492 is 655338/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 655338

Least Common Multiple of 914,717 with GCF Formula

Least Common Multiple of 914,717 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 914,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,717) = 1

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

GCF(914,717) x common factors =1 x 1 = 1

LCM(914,717) = ( 914 × 717 ) / 1

LCM(914,717) = 655338 / 1

LCM(914,717) = 655338


Lets's calculate GCF of 20,1492

2 20, 1492
2 10, 746
5, 373

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 655338/4

Therefore the LCM of Fractions 914/20,717/1492 is 655338/4

Greatest Common Factor of 20,1492 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,1492 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 1492

List of positive integer factors of 1492 that divides 1492 without a remainder.

1,2,4,373,746,1492

Greatest Common Factor

We found the factors 20,1492 . The biggest common factor number is the GCF number.
So the greatest common factor 20,1492 is 4.


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 914/20, 717/1492

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 914/20, 717/1492?

Answer: LCM of Numerators as per given numbers 914/20, 717/1492 is

LCM of Numerators i.e. for 914,717 is 655338

GCF of denominators i.e. for 20,1492 is 4.

Thus, LCM of Fractions is 655338/4.Finally, LCM of Fractions for 914/20, 717/1492 is 655338/4.