Least Common Multiple of 3348/215, 8992/3011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3348/215, 8992/3011 quickly i.e. 7526304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3348/215, 8992/3011 is 7526304.

LCM(3348/215, 8992/3011) = 7526304

LCM of 3348/215, 8992/3011

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 3348/215,8992/3011

Given numbers are 3348/215,8992/3011

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 3348,8992

Least Common Multiple of Numerators i.e. LCM of 3348,8992 is 7526304.

GCF of Denominators means GCF of 215,3011 as per the given fractions.

GCF of 215,3011 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3348,8992

LCM of Fractions 3348/215,8992/3011 is 7526304

2 3348, 8992
2 1674, 4496
837, 2248

∴ So the LCM of the given numbers is 2 x 2 x 837 x 2248 = 7526304

Least Common Multiple of 3348,8992 with GCF Formula

Least Common Multiple of 3348,8992 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 3348,8992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3348,8992) = 4

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

GCF(3348,8992) x common factors =4 x 1 = 4

LCM(3348,8992) = ( 3348 × 8992 ) / 4

LCM(3348,8992) = 30105216 / 4

LCM(3348,8992) = 7526304


Lets's calculate GCF of 215,3011

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7526304/1

Therefore the LCM of Fractions 3348/215,8992/3011 is 7526304

Greatest Common Factor of 215,3011 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,3011 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 3011

List of positive integer factors of 3011 that divides 3011 without a remainder.

1,3011

Greatest Common Factor

We found the factors 215,3011 . The biggest common factor number is the GCF number.
So the greatest common factor 215,3011 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3348/215, 8992/3011

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 3348/215, 8992/3011?

Answer: LCM of Numerators as per given numbers 3348/215, 8992/3011 is

LCM of Numerators i.e. for 3348,8992 is 7526304

GCF of denominators i.e. for 215,3011 is 1.

Thus, LCM of Fractions is 7526304.Finally, LCM of Fractions for 3348/215, 8992/3011 is 7526304.