Least Common Multiple of 1497/451, 3712/484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1497/451, 3712/484 quickly i.e. 5556864/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1497/451, 3712/484 is 5556864/11.

LCM(1497/451, 3712/484) = 5556864/11

LCM of 1497/451, 3712/484

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 1497/451,3712/484

Given numbers are 1497/451,3712/484

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 1497,3712

Least Common Multiple of Numerators i.e. LCM of 1497,3712 is 5556864.

GCF of Denominators means GCF of 451,484 as per the given fractions.

GCF of 451,484 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1497,3712

LCM of Fractions 1497/451,3712/484 is 5556864/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 5556864

Least Common Multiple of 1497,3712 with GCF Formula

Least Common Multiple of 1497,3712 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 1497,3712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1497,3712) = 1

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

GCF(1497,3712) x common factors =1 x 1 = 1

LCM(1497,3712) = ( 1497 × 3712 ) / 1

LCM(1497,3712) = 5556864 / 1

LCM(1497,3712) = 5556864


Lets's calculate GCF of 451,484

11 451, 484
41, 44

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5556864/11

Therefore the LCM of Fractions 1497/451,3712/484 is 5556864/11

Greatest Common Factor of 451,484 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,484 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Greatest Common Factor

We found the factors 451,484 . The biggest common factor number is the GCF number.
So the greatest common factor 451,484 is 11.


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 1497/451, 3712/484

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 1497/451, 3712/484?

Answer: LCM of Numerators as per given numbers 1497/451, 3712/484 is

LCM of Numerators i.e. for 1497,3712 is 5556864

GCF of denominators i.e. for 451,484 is 11.

Thus, LCM of Fractions is 5556864/11.Finally, LCM of Fractions for 1497/451, 3712/484 is 5556864/11.