Least Common Multiple of 665/87, 827/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 665/87, 827/531 quickly i.e. 549955/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/87, 827/531 is 549955/3.

LCM(665/87, 827/531) = 549955/3

LCM of 665/87, 827/531

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 665/87,827/531

Given numbers are 665/87,827/531

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 665,827

Least Common Multiple of Numerators i.e. LCM of 665,827 is 549955.

GCF of Denominators means GCF of 87,531 as per the given fractions.

GCF of 87,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,827

LCM of Fractions 665/87,827/531 is 549955/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 549955

Least Common Multiple of 665,827 with GCF Formula

Least Common Multiple of 665,827 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 665,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,827) = 1

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

GCF(665,827) x common factors =1 x 1 = 1

LCM(665,827) = ( 665 × 827 ) / 1

LCM(665,827) = 549955 / 1

LCM(665,827) = 549955


Lets's calculate GCF of 87,531

3 87, 531
29, 177

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 549955/3

Therefore the LCM of Fractions 665/87,827/531 is 549955/3

Greatest Common Factor of 87,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,531 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 87,531 . The biggest common factor number is the GCF number.
So the greatest common factor 87,531 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 665/87, 827/531

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 665/87, 827/531?

Answer: LCM of Numerators as per given numbers 665/87, 827/531 is

LCM of Numerators i.e. for 665,827 is 549955

GCF of denominators i.e. for 87,531 is 3.

Thus, LCM of Fractions is 549955/3.Finally, LCM of Fractions for 665/87, 827/531 is 549955/3.