Least Common Multiple of 4049/456, 7213/3143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4049/456, 7213/3143 quickly i.e. 29205437 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4049/456, 7213/3143 is 29205437.

LCM(4049/456, 7213/3143) = 29205437

LCM of 4049/456, 7213/3143

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 4049/456,7213/3143

Given numbers are 4049/456,7213/3143

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 4049,7213

Least Common Multiple of Numerators i.e. LCM of 4049,7213 is 29205437.

GCF of Denominators means GCF of 456,3143 as per the given fractions.

GCF of 456,3143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4049,7213

LCM of Fractions 4049/456,7213/3143 is 29205437

Given numbers has no common factors except 1. So, there LCM is their product i.e 29205437

Least Common Multiple of 4049,7213 with GCF Formula

Least Common Multiple of 4049,7213 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 4049,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4049,7213) = 1

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

GCF(4049,7213) x common factors =1 x 1 = 1

LCM(4049,7213) = ( 4049 × 7213 ) / 1

LCM(4049,7213) = 29205437 / 1

LCM(4049,7213) = 29205437


Lets's calculate GCF of 456,3143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29205437/1

Therefore the LCM of Fractions 4049/456,7213/3143 is 29205437

Greatest Common Factor of 456,3143 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,3143 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 3143

List of positive integer factors of 3143 that divides 3143 without a remainder.

1,7,449,3143

Greatest Common Factor

We found the factors 456,3143 . The biggest common factor number is the GCF number.
So the greatest common factor 456,3143 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 4049/456, 7213/3143

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 4049/456, 7213/3143?

Answer: LCM of Numerators as per given numbers 4049/456, 7213/3143 is

LCM of Numerators i.e. for 4049,7213 is 29205437

GCF of denominators i.e. for 456,3143 is 1.

Thus, LCM of Fractions is 29205437.Finally, LCM of Fractions for 4049/456, 7213/3143 is 29205437.