Least Common Multiple of 999/17, 257/37, 236/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 999/17, 257/37, 236/867 quickly i.e. 60591348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/17, 257/37, 236/867 is 60591348.

LCM(999/17, 257/37, 236/867) = 60591348

LCM of 999/17, 257/37, 236/867

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 999/17,257/37,236/867

Given numbers are 999/17,257/37,236/867

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 999,257,236

Least Common Multiple of Numerators i.e. LCM of 999,257,236 is 60591348.

GCF of Denominators means GCF of 17,37,867 as per the given fractions.

GCF of 17,37,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,257,236

LCM of Fractions 999/17,257/37,236/867 is 60591348

Given numbers has no common factors except 1. So, there LCM is their product i.e 60591348

Least Common Multiple of 999,257,236 with GCF Formula

Least Common Multiple of 999,257,236 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 999,257,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,257,236) = 1

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

GCF(999,257,236) x common factors =1 x 1 = 1

LCM(999,257,236) = ( 999 × 257 × 236 ) / 1

LCM(999,257,236) = 60591348 / 1

LCM(999,257,236) = 60591348


Lets's calculate GCF of 17,37,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60591348/1

Therefore the LCM of Fractions 999/17,257/37,236/867 is 60591348

Greatest Common Factor of 17,37,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,37,867 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 17,37,867 . The biggest common factor number is the GCF number.
So the greatest common factor 17,37,867 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 999/17, 257/37, 236/867

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 999/17, 257/37, 236/867?

Answer: LCM of Numerators as per given numbers 999/17, 257/37, 236/867 is

LCM of Numerators i.e. for 999,257,236 is 60591348

GCF of denominators i.e. for 17,37,867 is 1.

Thus, LCM of Fractions is 60591348.Finally, LCM of Fractions for 999/17, 257/37, 236/867 is 60591348.