Least Common Multiple of 980/86, 281/34, 254/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/86, 281/34, 254/60 quickly i.e. 17486630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/86, 281/34, 254/60 is 17486630.

LCM(980/86, 281/34, 254/60) = 17486630

LCM of 980/86, 281/34, 254/60

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 980/86,281/34,254/60

Given numbers are 980/86,281/34,254/60

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 980,281,254

Least Common Multiple of Numerators i.e. LCM of 980,281,254 is 34973260.

GCF of Denominators means GCF of 86,34,60 as per the given fractions.

GCF of 86,34,60 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,281,254

LCM of Fractions 980/86,281/34,254/60 is 17486630

2 980, 281, 254
490, 281, 127

∴ So the LCM of the given numbers is 2 x 490 x 281 x 127 = 34973260

Least Common Multiple of 980,281,254 with GCF Formula

Least Common Multiple of 980,281,254 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 980,281,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,281,254) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(980,281,254) x common factors =1 x 2 = 2

LCM(980,281,254) = ( 980 × 281 × 254 ) / 2

LCM(980,281,254) = 69946520 / 2

LCM(980,281,254) = 34973260


Lets's calculate GCF of 86,34,60

2 86, 34, 60
43, 17, 30

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34973260/2

Therefore the LCM of Fractions 980/86,281/34,254/60 is 17486630

Greatest Common Factor of 86,34,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,34,60 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 86,34,60 . The biggest common factor number is the GCF number.
So the greatest common factor 86,34,60 is 2.


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 980/86, 281/34, 254/60

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 980/86, 281/34, 254/60?

Answer: LCM of Numerators as per given numbers 980/86, 281/34, 254/60 is

LCM of Numerators i.e. for 980,281,254 is 34973260

GCF of denominators i.e. for 86,34,60 is 2.

Thus, LCM of Fractions is 17486630.Finally, LCM of Fractions for 980/86, 281/34, 254/60 is 17486630.