Least Common Multiple of 86/89, 600/36, 663/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 86/89, 600/36, 663/917 quickly i.e. 5701800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/89, 600/36, 663/917 is 5701800.

LCM(86/89, 600/36, 663/917) = 5701800

LCM of 86/89, 600/36, 663/917

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 86/89,600/36,663/917

Given numbers are 86/89,600/36,663/917

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 86,600,663

Least Common Multiple of Numerators i.e. LCM of 86,600,663 is 5701800.

GCF of Denominators means GCF of 89,36,917 as per the given fractions.

GCF of 89,36,917 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,600,663

LCM of Fractions 86/89,600/36,663/917 is 5701800

2 86, 600, 663
3 43, 300, 663
43, 100, 221

∴ So the LCM of the given numbers is 2 x 3 x 43 x 100 x 221 = 5701800

Least Common Multiple of 86,600,663 with GCF Formula

Least Common Multiple of 86,600,663 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 86,600,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,600,663) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(86,600,663) x common factors =1 x 6 = 6

LCM(86,600,663) = ( 86 × 600 × 663 ) / 6

LCM(86,600,663) = 34210800 / 6

LCM(86,600,663) = 5701800


Lets's calculate GCF of 89,36,917

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5701800/1

Therefore the LCM of Fractions 86/89,600/36,663/917 is 5701800

Greatest Common Factor of 89,36,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,36,917 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 89,36,917 . The biggest common factor number is the GCF number.
So the greatest common factor 89,36,917 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 86/89, 600/36, 663/917

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 86/89, 600/36, 663/917?

Answer: LCM of Numerators as per given numbers 86/89, 600/36, 663/917 is

LCM of Numerators i.e. for 86,600,663 is 5701800

GCF of denominators i.e. for 89,36,917 is 1.

Thus, LCM of Fractions is 5701800.Finally, LCM of Fractions for 86/89, 600/36, 663/917 is 5701800.