Least Common Multiple of 744/842, 2506/9284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/842, 2506/9284 quickly i.e. 466116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/842, 2506/9284 is 466116.

LCM(744/842, 2506/9284) = 466116

LCM of 744/842, 2506/9284

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 744/842,2506/9284

Given numbers are 744/842,2506/9284

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 744,2506

Least Common Multiple of Numerators i.e. LCM of 744,2506 is 932232.

GCF of Denominators means GCF of 842,9284 as per the given fractions.

GCF of 842,9284 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,2506

LCM of Fractions 744/842,2506/9284 is 466116

2 744, 2506
372, 1253

∴ So the LCM of the given numbers is 2 x 372 x 1253 = 932232

Least Common Multiple of 744,2506 with GCF Formula

Least Common Multiple of 744,2506 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 744,2506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,2506) = 2

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

GCF(744,2506) x common factors =2 x 1 = 2

LCM(744,2506) = ( 744 × 2506 ) / 2

LCM(744,2506) = 1864464 / 2

LCM(744,2506) = 932232


Lets's calculate GCF of 842,9284

2 842, 9284
421, 4642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 932232/2

Therefore the LCM of Fractions 744/842,2506/9284 is 466116

Greatest Common Factor of 842,9284 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,9284 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1,2,4,11,22,44,211,422,844,2321,4642,9284

Greatest Common Factor

We found the factors 842,9284 . The biggest common factor number is the GCF number.
So the greatest common factor 842,9284 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 744/842, 2506/9284

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 744/842, 2506/9284?

Answer: LCM of Numerators as per given numbers 744/842, 2506/9284 is

LCM of Numerators i.e. for 744,2506 is 932232

GCF of denominators i.e. for 842,9284 is 2.

Thus, LCM of Fractions is 466116.Finally, LCM of Fractions for 744/842, 2506/9284 is 466116.