Least Common Multiple of 3712/499, 1822/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3712/499, 1822/242 quickly i.e. 3381632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3712/499, 1822/242 is 3381632.

LCM(3712/499, 1822/242) = 3381632

LCM of 3712/499, 1822/242

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 3712/499,1822/242

Given numbers are 3712/499,1822/242

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 3712,1822

Least Common Multiple of Numerators i.e. LCM of 3712,1822 is 3381632.

GCF of Denominators means GCF of 499,242 as per the given fractions.

GCF of 499,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3712,1822

LCM of Fractions 3712/499,1822/242 is 3381632

2 3712, 1822
1856, 911

∴ So the LCM of the given numbers is 2 x 1856 x 911 = 3381632

Least Common Multiple of 3712,1822 with GCF Formula

Least Common Multiple of 3712,1822 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 3712,1822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3712,1822) = 2

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

GCF(3712,1822) x common factors =2 x 1 = 2

LCM(3712,1822) = ( 3712 × 1822 ) / 2

LCM(3712,1822) = 6763264 / 2

LCM(3712,1822) = 3381632


Lets's calculate GCF of 499,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3381632/1

Therefore the LCM of Fractions 3712/499,1822/242 is 3381632

Greatest Common Factor of 499,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,242 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 499,242 . The biggest common factor number is the GCF number.
So the greatest common factor 499,242 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 3712/499, 1822/242

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 3712/499, 1822/242?

Answer: LCM of Numerators as per given numbers 3712/499, 1822/242 is

LCM of Numerators i.e. for 3712,1822 is 3381632

GCF of denominators i.e. for 499,242 is 1.

Thus, LCM of Fractions is 3381632.Finally, LCM of Fractions for 3712/499, 1822/242 is 3381632.