Least Common Multiple of 258/25, 267/16, 986/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 258/25, 267/16, 986/57 quickly i.e. 11320266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/25, 267/16, 986/57 is 11320266.

LCM(258/25, 267/16, 986/57) = 11320266

LCM of 258/25, 267/16, 986/57

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 258/25,267/16,986/57

Given numbers are 258/25,267/16,986/57

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 258,267,986

Least Common Multiple of Numerators i.e. LCM of 258,267,986 is 11320266.

GCF of Denominators means GCF of 25,16,57 as per the given fractions.

GCF of 25,16,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,267,986

LCM of Fractions 258/25,267/16,986/57 is 11320266

2 258, 267, 986
3 129, 267, 493
43, 89, 493

∴ So the LCM of the given numbers is 2 x 3 x 43 x 89 x 493 = 11320266

Least Common Multiple of 258,267,986 with GCF Formula

Least Common Multiple of 258,267,986 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 258,267,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,267,986) = 1

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

GCF(258,267,986) x common factors =1 x 6 = 6

LCM(258,267,986) = ( 258 × 267 × 986 ) / 6

LCM(258,267,986) = 67921596 / 6

LCM(258,267,986) = 11320266


Lets's calculate GCF of 25,16,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11320266/1

Therefore the LCM of Fractions 258/25,267/16,986/57 is 11320266

Greatest Common Factor of 25,16,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,16,57 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 25,16,57 . The biggest common factor number is the GCF number.
So the greatest common factor 25,16,57 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 258/25, 267/16, 986/57

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 258/25, 267/16, 986/57?

Answer: LCM of Numerators as per given numbers 258/25, 267/16, 986/57 is

LCM of Numerators i.e. for 258,267,986 is 11320266

GCF of denominators i.e. for 25,16,57 is 1.

Thus, LCM of Fractions is 11320266.Finally, LCM of Fractions for 258/25, 267/16, 986/57 is 11320266.