Least Common Multiple of 736/282, 8484/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/282, 8484/427 quickly i.e. 1561056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/282, 8484/427 is 1561056.

LCM(736/282, 8484/427) = 1561056

LCM of 736/282, 8484/427

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 736/282,8484/427

Given numbers are 736/282,8484/427

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 736,8484

Least Common Multiple of Numerators i.e. LCM of 736,8484 is 1561056.

GCF of Denominators means GCF of 282,427 as per the given fractions.

GCF of 282,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,8484

LCM of Fractions 736/282,8484/427 is 1561056

2 736, 8484
2 368, 4242
184, 2121

∴ So the LCM of the given numbers is 2 x 2 x 184 x 2121 = 1561056

Least Common Multiple of 736,8484 with GCF Formula

Least Common Multiple of 736,8484 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 736,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,8484) = 4

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

GCF(736,8484) x common factors =4 x 1 = 4

LCM(736,8484) = ( 736 × 8484 ) / 4

LCM(736,8484) = 6244224 / 4

LCM(736,8484) = 1561056


Lets's calculate GCF of 282,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1561056/1

Therefore the LCM of Fractions 736/282,8484/427 is 1561056

Greatest Common Factor of 282,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,427 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 282,427 . The biggest common factor number is the GCF number.
So the greatest common factor 282,427 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 736/282, 8484/427

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 736/282, 8484/427?

Answer: LCM of Numerators as per given numbers 736/282, 8484/427 is

LCM of Numerators i.e. for 736,8484 is 1561056

GCF of denominators i.e. for 282,427 is 1.

Thus, LCM of Fractions is 1561056.Finally, LCM of Fractions for 736/282, 8484/427 is 1561056.