Least Common Multiple of 17/126, 568/142, 289/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/126, 568/142, 289/251 quickly i.e. 164152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/126, 568/142, 289/251 is 164152.

LCM(17/126, 568/142, 289/251) = 164152

LCM of 17/126, 568/142, 289/251

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 17/126,568/142,289/251

Given numbers are 17/126,568/142,289/251

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 17,568,289

Least Common Multiple of Numerators i.e. LCM of 17,568,289 is 164152.

GCF of Denominators means GCF of 126,142,251 as per the given fractions.

GCF of 126,142,251 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,568,289

LCM of Fractions 17/126,568/142,289/251 is 164152

17 17, 568, 289
1, 568, 17

∴ So the LCM of the given numbers is 17 x 1 x 568 x 17 = 164152

Least Common Multiple of 17,568,289 with GCF Formula

Least Common Multiple of 17,568,289 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 17,568,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,568,289) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,568,289) x common factors =1 x 17 = 17

LCM(17,568,289) = ( 17 × 568 × 289 ) / 17

LCM(17,568,289) = 2790584 / 17

LCM(17,568,289) = 164152


Lets's calculate GCF of 126,142,251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 164152/1

Therefore the LCM of Fractions 17/126,568/142,289/251 is 164152

Greatest Common Factor of 126,142,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,142,251 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 126,142,251 . The biggest common factor number is the GCF number.
So the greatest common factor 126,142,251 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 17/126, 568/142, 289/251

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 17/126, 568/142, 289/251?

Answer: LCM of Numerators as per given numbers 17/126, 568/142, 289/251 is

LCM of Numerators i.e. for 17,568,289 is 164152

GCF of denominators i.e. for 126,142,251 is 1.

Thus, LCM of Fractions is 164152.Finally, LCM of Fractions for 17/126, 568/142, 289/251 is 164152.