Least Common Multiple of 3714/536, 8874/7273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3714/536, 8874/7273 quickly i.e. 5493006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3714/536, 8874/7273 is 5493006.

LCM(3714/536, 8874/7273) = 5493006

LCM of 3714/536, 8874/7273

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 3714/536,8874/7273

Given numbers are 3714/536,8874/7273

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 3714,8874

Least Common Multiple of Numerators i.e. LCM of 3714,8874 is 5493006.

GCF of Denominators means GCF of 536,7273 as per the given fractions.

GCF of 536,7273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3714,8874

LCM of Fractions 3714/536,8874/7273 is 5493006

2 3714, 8874
3 1857, 4437
619, 1479

∴ So the LCM of the given numbers is 2 x 3 x 619 x 1479 = 5493006

Least Common Multiple of 3714,8874 with GCF Formula

Least Common Multiple of 3714,8874 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 3714,8874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3714,8874) = 6

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

GCF(3714,8874) x common factors =6 x 1 = 6

LCM(3714,8874) = ( 3714 × 8874 ) / 6

LCM(3714,8874) = 32958036 / 6

LCM(3714,8874) = 5493006


Lets's calculate GCF of 536,7273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5493006/1

Therefore the LCM of Fractions 3714/536,8874/7273 is 5493006

Greatest Common Factor of 536,7273 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,7273 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 7273

List of positive integer factors of 7273 that divides 7273 without a remainder.

1,7,1039,7273

Greatest Common Factor

We found the factors 536,7273 . The biggest common factor number is the GCF number.
So the greatest common factor 536,7273 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 3714/536, 8874/7273

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 3714/536, 8874/7273?

Answer: LCM of Numerators as per given numbers 3714/536, 8874/7273 is

LCM of Numerators i.e. for 3714,8874 is 5493006

GCF of denominators i.e. for 536,7273 is 1.

Thus, LCM of Fractions is 5493006.Finally, LCM of Fractions for 3714/536, 8874/7273 is 5493006.