Least Common Multiple of 324/493, 4199/7112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/493, 4199/7112 quickly i.e. 1360476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/493, 4199/7112 is 1360476.

LCM(324/493, 4199/7112) = 1360476

LCM of 324/493, 4199/7112

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 324/493,4199/7112

Given numbers are 324/493,4199/7112

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 324,4199

Least Common Multiple of Numerators i.e. LCM of 324,4199 is 1360476.

GCF of Denominators means GCF of 493,7112 as per the given fractions.

GCF of 493,7112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,4199

LCM of Fractions 324/493,4199/7112 is 1360476

Given numbers has no common factors except 1. So, there LCM is their product i.e 1360476

Least Common Multiple of 324,4199 with GCF Formula

Least Common Multiple of 324,4199 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 324,4199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,4199) = 1

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

GCF(324,4199) x common factors =1 x 1 = 1

LCM(324,4199) = ( 324 × 4199 ) / 1

LCM(324,4199) = 1360476 / 1

LCM(324,4199) = 1360476


Lets's calculate GCF of 493,7112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1360476/1

Therefore the LCM of Fractions 324/493,4199/7112 is 1360476

Greatest Common Factor of 493,7112 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,7112 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 7112

List of positive integer factors of 7112 that divides 7112 without a remainder.

1,2,4,7,8,14,28,56,127,254,508,889,1016,1778,3556,7112

Greatest Common Factor

We found the factors 493,7112 . The biggest common factor number is the GCF number.
So the greatest common factor 493,7112 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 324/493, 4199/7112

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 324/493, 4199/7112?

Answer: LCM of Numerators as per given numbers 324/493, 4199/7112 is

LCM of Numerators i.e. for 324,4199 is 1360476

GCF of denominators i.e. for 493,7112 is 1.

Thus, LCM of Fractions is 1360476.Finally, LCM of Fractions for 324/493, 4199/7112 is 1360476.