Least Common Multiple of 451/898, 564/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 451/898, 564/449 quickly i.e. 254364/449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 451/898, 564/449 is 254364/449.

LCM(451/898, 564/449) = 254364/449

LCM of 451/898, 564/449

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 451/898,564/449

Given numbers are 451/898,564/449

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 451,564

Least Common Multiple of Numerators i.e. LCM of 451,564 is 254364.

GCF of Denominators means GCF of 898,449 as per the given fractions.

GCF of 898,449 is 449 as it is the largest common factor for these numbers.

Lets's calculate LCM of 451,564

LCM of Fractions 451/898,564/449 is 254364/449

Given numbers has no common factors except 1. So, there LCM is their product i.e 254364

Least Common Multiple of 451,564 with GCF Formula

Least Common Multiple of 451,564 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 451,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(451,564) = 1

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

GCF(451,564) x common factors =1 x 1 = 1

LCM(451,564) = ( 451 × 564 ) / 1

LCM(451,564) = 254364 / 1

LCM(451,564) = 254364


Lets's calculate GCF of 898,449

449 898, 449
2, 1

∴ So the GCF of the given numbers is 449 = 449

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 254364/449

Therefore the LCM of Fractions 451/898,564/449 is 254364/449

Greatest Common Factor of 898,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 898,449 By Matching Biggest Common Factor Method

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 898,449 . The biggest common factor number is the GCF number.
So the greatest common factor 898,449 is 449.


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 451/898, 564/449

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 451/898, 564/449?

Answer: LCM of Numerators as per given numbers 451/898, 564/449 is

LCM of Numerators i.e. for 451,564 is 254364

GCF of denominators i.e. for 898,449 is 449.

Thus, LCM of Fractions is 254364/449.Finally, LCM of Fractions for 451/898, 564/449 is 254364/449.