Least Common Multiple of 967/17, 251/9027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 967/17, 251/9027 quickly i.e. 242717/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/17, 251/9027 is 242717/17.

LCM(967/17, 251/9027) = 242717/17

LCM of 967/17, 251/9027

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 967/17,251/9027

Given numbers are 967/17,251/9027

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 967,251

Least Common Multiple of Numerators i.e. LCM of 967,251 is 242717.

GCF of Denominators means GCF of 17,9027 as per the given fractions.

GCF of 17,9027 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,251

LCM of Fractions 967/17,251/9027 is 242717/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 242717

Least Common Multiple of 967,251 with GCF Formula

Least Common Multiple of 967,251 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 967,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,251) = 1

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

GCF(967,251) x common factors =1 x 1 = 1

LCM(967,251) = ( 967 × 251 ) / 1

LCM(967,251) = 242717 / 1

LCM(967,251) = 242717


Lets's calculate GCF of 17,9027

17 17, 9027
1, 531

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242717/17

Therefore the LCM of Fractions 967/17,251/9027 is 242717/17

Greatest Common Factor of 17,9027 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,9027 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 9027

List of positive integer factors of 9027 that divides 9027 without a remainder.

1,3,9,17,51,59,153,177,531,1003,3009,9027

Greatest Common Factor

We found the factors 17,9027 . The biggest common factor number is the GCF number.
So the greatest common factor 17,9027 is 17.


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Frequently Asked Questions on Fractional LCM of 967/17, 251/9027

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 967/17, 251/9027?

Answer: LCM of Numerators as per given numbers 967/17, 251/9027 is

LCM of Numerators i.e. for 967,251 is 242717

GCF of denominators i.e. for 17,9027 is 17.

Thus, LCM of Fractions is 242717/17.Finally, LCM of Fractions for 967/17, 251/9027 is 242717/17.