Least Common Multiple of 17/943, 42/216, 251/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/943, 42/216, 251/670 quickly i.e. 179214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/943, 42/216, 251/670 is 179214.

LCM(17/943, 42/216, 251/670) = 179214

LCM of 17/943, 42/216, 251/670

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 17/943,42/216,251/670

Given numbers are 17/943,42/216,251/670

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 17,42,251

Least Common Multiple of Numerators i.e. LCM of 17,42,251 is 179214.

GCF of Denominators means GCF of 943,216,670 as per the given fractions.

GCF of 943,216,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,42,251

LCM of Fractions 17/943,42/216,251/670 is 179214

Given numbers has no common factors except 1. So, there LCM is their product i.e 179214

Least Common Multiple of 17,42,251 with GCF Formula

Least Common Multiple of 17,42,251 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 17,42,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,42,251) = 1

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

GCF(17,42,251) x common factors =1 x 1 = 1

LCM(17,42,251) = ( 17 × 42 × 251 ) / 1

LCM(17,42,251) = 179214 / 1

LCM(17,42,251) = 179214


Lets's calculate GCF of 943,216,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179214/1

Therefore the LCM of Fractions 17/943,42/216,251/670 is 179214

Greatest Common Factor of 943,216,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 943,216,670 By Matching Biggest Common Factor Method

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 943,216,670 . The biggest common factor number is the GCF number.
So the greatest common factor 943,216,670 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 17/943, 42/216, 251/670

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 17/943, 42/216, 251/670?

Answer: LCM of Numerators as per given numbers 17/943, 42/216, 251/670 is

LCM of Numerators i.e. for 17,42,251 is 179214

GCF of denominators i.e. for 943,216,670 is 1.

Thus, LCM of Fractions is 179214.Finally, LCM of Fractions for 17/943, 42/216, 251/670 is 179214.