Least Common Multiple of 807/272, 458/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 807/272, 458/886 quickly i.e. 184803 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/272, 458/886 is 184803.

LCM(807/272, 458/886) = 184803

LCM of 807/272, 458/886

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 807/272,458/886

Given numbers are 807/272,458/886

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 807,458

Least Common Multiple of Numerators i.e. LCM of 807,458 is 369606.

GCF of Denominators means GCF of 272,886 as per the given fractions.

GCF of 272,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,458

LCM of Fractions 807/272,458/886 is 184803

Given numbers has no common factors except 1. So, there LCM is their product i.e 369606

Least Common Multiple of 807,458 with GCF Formula

Least Common Multiple of 807,458 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 807,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,458) = 1

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

GCF(807,458) x common factors =1 x 1 = 1

LCM(807,458) = ( 807 × 458 ) / 1

LCM(807,458) = 369606 / 1

LCM(807,458) = 369606


Lets's calculate GCF of 272,886

2 272, 886
136, 443

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 369606/2

Therefore the LCM of Fractions 807/272,458/886 is 184803

Greatest Common Factor of 272,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,886 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 272,886 . The biggest common factor number is the GCF number.
So the greatest common factor 272,886 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 807/272, 458/886

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 807/272, 458/886?

Answer: LCM of Numerators as per given numbers 807/272, 458/886 is

LCM of Numerators i.e. for 807,458 is 369606

GCF of denominators i.e. for 272,886 is 2.

Thus, LCM of Fractions is 184803.Finally, LCM of Fractions for 807/272, 458/886 is 184803.