Least Common Multiple of 87/654, 8221/1726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 87/654, 8221/1726 quickly i.e. 715227/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/654, 8221/1726 is 715227/2.

LCM(87/654, 8221/1726) = 715227/2

LCM of 87/654, 8221/1726

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 87/654,8221/1726

Given numbers are 87/654,8221/1726

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 87,8221

Least Common Multiple of Numerators i.e. LCM of 87,8221 is 715227.

GCF of Denominators means GCF of 654,1726 as per the given fractions.

GCF of 654,1726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,8221

LCM of Fractions 87/654,8221/1726 is 715227/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 715227

Least Common Multiple of 87,8221 with GCF Formula

Least Common Multiple of 87,8221 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 87,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,8221) = 1

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

GCF(87,8221) x common factors =1 x 1 = 1

LCM(87,8221) = ( 87 × 8221 ) / 1

LCM(87,8221) = 715227 / 1

LCM(87,8221) = 715227


Lets's calculate GCF of 654,1726

2 654, 1726
327, 863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 715227/2

Therefore the LCM of Fractions 87/654,8221/1726 is 715227/2

Greatest Common Factor of 654,1726 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,1726 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 1726

List of positive integer factors of 1726 that divides 1726 without a remainder.

1,2,863,1726

Greatest Common Factor

We found the factors 654,1726 . The biggest common factor number is the GCF number.
So the greatest common factor 654,1726 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 87/654, 8221/1726

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 87/654, 8221/1726?

Answer: LCM of Numerators as per given numbers 87/654, 8221/1726 is

LCM of Numerators i.e. for 87,8221 is 715227

GCF of denominators i.e. for 654,1726 is 2.

Thus, LCM of Fractions is 715227/2.Finally, LCM of Fractions for 87/654, 8221/1726 is 715227/2.