Least Common Multiple of 648/736, 2082/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 648/736, 2082/271 quickly i.e. 224856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 648/736, 2082/271 is 224856.

LCM(648/736, 2082/271) = 224856

LCM of 648/736, 2082/271

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 648/736,2082/271

Given numbers are 648/736,2082/271

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 648,2082

Least Common Multiple of Numerators i.e. LCM of 648,2082 is 224856.

GCF of Denominators means GCF of 736,271 as per the given fractions.

GCF of 736,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 648,2082

LCM of Fractions 648/736,2082/271 is 224856

2 648, 2082
3 324, 1041
108, 347

∴ So the LCM of the given numbers is 2 x 3 x 108 x 347 = 224856

Least Common Multiple of 648,2082 with GCF Formula

Least Common Multiple of 648,2082 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 648,2082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,2082) = 6

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

GCF(648,2082) x common factors =6 x 1 = 6

LCM(648,2082) = ( 648 × 2082 ) / 6

LCM(648,2082) = 1349136 / 6

LCM(648,2082) = 224856


Lets's calculate GCF of 736,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224856/1

Therefore the LCM of Fractions 648/736,2082/271 is 224856

Greatest Common Factor of 736,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,271 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 736,271 . The biggest common factor number is the GCF number.
So the greatest common factor 736,271 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 648/736, 2082/271

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 648/736, 2082/271?

Answer: LCM of Numerators as per given numbers 648/736, 2082/271 is

LCM of Numerators i.e. for 648,2082 is 224856

GCF of denominators i.e. for 736,271 is 1.

Thus, LCM of Fractions is 224856.Finally, LCM of Fractions for 648/736, 2082/271 is 224856.