Least Common Multiple of 449/340, 5406/9627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 449/340, 5406/9627 quickly i.e. 2427294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/340, 5406/9627 is 2427294.

LCM(449/340, 5406/9627) = 2427294

LCM of 449/340, 5406/9627

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 449/340,5406/9627

Given numbers are 449/340,5406/9627

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 449,5406

Least Common Multiple of Numerators i.e. LCM of 449,5406 is 2427294.

GCF of Denominators means GCF of 340,9627 as per the given fractions.

GCF of 340,9627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,5406

LCM of Fractions 449/340,5406/9627 is 2427294

Given numbers has no common factors except 1. So, there LCM is their product i.e 2427294

Least Common Multiple of 449,5406 with GCF Formula

Least Common Multiple of 449,5406 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 449,5406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,5406) = 1

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

GCF(449,5406) x common factors =1 x 1 = 1

LCM(449,5406) = ( 449 × 5406 ) / 1

LCM(449,5406) = 2427294 / 1

LCM(449,5406) = 2427294


Lets's calculate GCF of 340,9627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2427294/1

Therefore the LCM of Fractions 449/340,5406/9627 is 2427294

Greatest Common Factor of 340,9627 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,9627 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 9627

List of positive integer factors of 9627 that divides 9627 without a remainder.

1,3,3209,9627

Greatest Common Factor

We found the factors 340,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 340,9627 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 449/340, 5406/9627

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 449/340, 5406/9627?

Answer: LCM of Numerators as per given numbers 449/340, 5406/9627 is

LCM of Numerators i.e. for 449,5406 is 2427294

GCF of denominators i.e. for 340,9627 is 1.

Thus, LCM of Fractions is 2427294.Finally, LCM of Fractions for 449/340, 5406/9627 is 2427294.