Least Common Multiple of 449/71, 280/4454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 449/71, 280/4454 quickly i.e. 125720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/71, 280/4454 is 125720.

LCM(449/71, 280/4454) = 125720

LCM of 449/71, 280/4454

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 449/71,280/4454

Given numbers are 449/71,280/4454

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 449,280

Least Common Multiple of Numerators i.e. LCM of 449,280 is 125720.

GCF of Denominators means GCF of 71,4454 as per the given fractions.

GCF of 71,4454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,280

LCM of Fractions 449/71,280/4454 is 125720

Given numbers has no common factors except 1. So, there LCM is their product i.e 125720

Least Common Multiple of 449,280 with GCF Formula

Least Common Multiple of 449,280 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 449,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,280) = 1

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

GCF(449,280) x common factors =1 x 1 = 1

LCM(449,280) = ( 449 × 280 ) / 1

LCM(449,280) = 125720 / 1

LCM(449,280) = 125720


Lets's calculate GCF of 71,4454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125720/1

Therefore the LCM of Fractions 449/71,280/4454 is 125720

Greatest Common Factor of 71,4454 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,4454 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1,2,17,34,131,262,2227,4454

Greatest Common Factor

We found the factors 71,4454 . The biggest common factor number is the GCF number.
So the greatest common factor 71,4454 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 449/71, 280/4454

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 449/71, 280/4454?

Answer: LCM of Numerators as per given numbers 449/71, 280/4454 is

LCM of Numerators i.e. for 449,280 is 125720

GCF of denominators i.e. for 71,4454 is 1.

Thus, LCM of Fractions is 125720.Finally, LCM of Fractions for 449/71, 280/4454 is 125720.