Least Common Multiple of 744/17, 427/6119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/17, 427/6119 quickly i.e. 317688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/17, 427/6119 is 317688.

LCM(744/17, 427/6119) = 317688

LCM of 744/17, 427/6119

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 744/17,427/6119

Given numbers are 744/17,427/6119

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 744,427

Least Common Multiple of Numerators i.e. LCM of 744,427 is 317688.

GCF of Denominators means GCF of 17,6119 as per the given fractions.

GCF of 17,6119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,427

LCM of Fractions 744/17,427/6119 is 317688

Given numbers has no common factors except 1. So, there LCM is their product i.e 317688

Least Common Multiple of 744,427 with GCF Formula

Least Common Multiple of 744,427 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 744,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,427) = 1

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

GCF(744,427) x common factors =1 x 1 = 1

LCM(744,427) = ( 744 × 427 ) / 1

LCM(744,427) = 317688 / 1

LCM(744,427) = 317688


Lets's calculate GCF of 17,6119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317688/1

Therefore the LCM of Fractions 744/17,427/6119 is 317688

Greatest Common Factor of 17,6119 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,6119 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 6119

List of positive integer factors of 6119 that divides 6119 without a remainder.

1,29,211,6119

Greatest Common Factor

We found the factors 17,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 17,6119 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 744/17, 427/6119

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 744/17, 427/6119?

Answer: LCM of Numerators as per given numbers 744/17, 427/6119 is

LCM of Numerators i.e. for 744,427 is 317688

GCF of denominators i.e. for 17,6119 is 1.

Thus, LCM of Fractions is 317688.Finally, LCM of Fractions for 744/17, 427/6119 is 317688.