Least Common Multiple of 441/74, 7440/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 441/74, 7440/994 quickly i.e. 546840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 441/74, 7440/994 is 546840.

LCM(441/74, 7440/994) = 546840

LCM of 441/74, 7440/994

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 441/74,7440/994

Given numbers are 441/74,7440/994

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 441,7440

Least Common Multiple of Numerators i.e. LCM of 441,7440 is 1093680.

GCF of Denominators means GCF of 74,994 as per the given fractions.

GCF of 74,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 441,7440

LCM of Fractions 441/74,7440/994 is 546840

3 441, 7440
147, 2480

∴ So the LCM of the given numbers is 3 x 147 x 2480 = 1093680

Least Common Multiple of 441,7440 with GCF Formula

Least Common Multiple of 441,7440 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 441,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(441,7440) = 3

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

GCF(441,7440) x common factors =3 x 1 = 3

LCM(441,7440) = ( 441 × 7440 ) / 3

LCM(441,7440) = 3281040 / 3

LCM(441,7440) = 1093680


Lets's calculate GCF of 74,994

2 74, 994
37, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1093680/2

Therefore the LCM of Fractions 441/74,7440/994 is 546840

Greatest Common Factor of 74,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,994 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 74,994 . The biggest common factor number is the GCF number.
So the greatest common factor 74,994 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 441/74, 7440/994

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 441/74, 7440/994?

Answer: LCM of Numerators as per given numbers 441/74, 7440/994 is

LCM of Numerators i.e. for 441,7440 is 1093680

GCF of denominators i.e. for 74,994 is 2.

Thus, LCM of Fractions is 546840.Finally, LCM of Fractions for 441/74, 7440/994 is 546840.