Least Common Multiple of 3714/398, 1001/7996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3714/398, 1001/7996 quickly i.e. 1858857 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3714/398, 1001/7996 is 1858857.

LCM(3714/398, 1001/7996) = 1858857

LCM of 3714/398, 1001/7996

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 3714/398,1001/7996

Given numbers are 3714/398,1001/7996

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 3714,1001

Least Common Multiple of Numerators i.e. LCM of 3714,1001 is 3717714.

GCF of Denominators means GCF of 398,7996 as per the given fractions.

GCF of 398,7996 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3714,1001

LCM of Fractions 3714/398,1001/7996 is 1858857

Given numbers has no common factors except 1. So, there LCM is their product i.e 3717714

Least Common Multiple of 3714,1001 with GCF Formula

Least Common Multiple of 3714,1001 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 3714,1001 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3714,1001) = 1

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

GCF(3714,1001) x common factors =1 x 1 = 1

LCM(3714,1001) = ( 3714 × 1001 ) / 1

LCM(3714,1001) = 3717714 / 1

LCM(3714,1001) = 3717714


Lets's calculate GCF of 398,7996

2 398, 7996
199, 3998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3717714/2

Therefore the LCM of Fractions 3714/398,1001/7996 is 1858857

Greatest Common Factor of 398,7996 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,7996 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 7996

List of positive integer factors of 7996 that divides 7996 without a remainder.

1,2,4,1999,3998,7996

Greatest Common Factor

We found the factors 398,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 398,7996 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 3714/398, 1001/7996

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 3714/398, 1001/7996?

Answer: LCM of Numerators as per given numbers 3714/398, 1001/7996 is

LCM of Numerators i.e. for 3714,1001 is 3717714

GCF of denominators i.e. for 398,7996 is 2.

Thus, LCM of Fractions is 1858857.Finally, LCM of Fractions for 3714/398, 1001/7996 is 1858857.