Least Common Multiple of 1439/917, 3971/6320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1439/917, 3971/6320 quickly i.e. 5714269 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1439/917, 3971/6320 is 5714269.

LCM(1439/917, 3971/6320) = 5714269

LCM of 1439/917, 3971/6320

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 1439/917,3971/6320

Given numbers are 1439/917,3971/6320

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 1439,3971

Least Common Multiple of Numerators i.e. LCM of 1439,3971 is 5714269.

GCF of Denominators means GCF of 917,6320 as per the given fractions.

GCF of 917,6320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1439,3971

LCM of Fractions 1439/917,3971/6320 is 5714269

Given numbers has no common factors except 1. So, there LCM is their product i.e 5714269

Least Common Multiple of 1439,3971 with GCF Formula

Least Common Multiple of 1439,3971 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 1439,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1439,3971) = 1

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

GCF(1439,3971) x common factors =1 x 1 = 1

LCM(1439,3971) = ( 1439 × 3971 ) / 1

LCM(1439,3971) = 5714269 / 1

LCM(1439,3971) = 5714269


Lets's calculate GCF of 917,6320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5714269/1

Therefore the LCM of Fractions 1439/917,3971/6320 is 5714269

Greatest Common Factor of 917,6320 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,6320 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 6320

List of positive integer factors of 6320 that divides 6320 without a remainder.

1,2,4,5,8,10,16,20,40,79,80,158,316,395,632,790,1264,1580,3160,6320

Greatest Common Factor

We found the factors 917,6320 . The biggest common factor number is the GCF number.
So the greatest common factor 917,6320 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1439/917, 3971/6320

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 1439/917, 3971/6320?

Answer: LCM of Numerators as per given numbers 1439/917, 3971/6320 is

LCM of Numerators i.e. for 1439,3971 is 5714269

GCF of denominators i.e. for 917,6320 is 1.

Thus, LCM of Fractions is 5714269.Finally, LCM of Fractions for 1439/917, 3971/6320 is 5714269.