Least Common Multiple of 60/258, 867/80, 512/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/258, 867/80, 512/838 quickly i.e. 1109760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/258, 867/80, 512/838 is 1109760.

LCM(60/258, 867/80, 512/838) = 1109760

LCM of 60/258, 867/80, 512/838

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 60/258,867/80,512/838

Given numbers are 60/258,867/80,512/838

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 60,867,512

Least Common Multiple of Numerators i.e. LCM of 60,867,512 is 2219520.

GCF of Denominators means GCF of 258,80,838 as per the given fractions.

GCF of 258,80,838 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,867,512

LCM of Fractions 60/258,867/80,512/838 is 1109760

2 60, 867, 512
2 30, 867, 256
3 15, 867, 128
5, 289, 128

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 289 x 128 = 2219520

Least Common Multiple of 60,867,512 with GCF Formula

Least Common Multiple of 60,867,512 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 60,867,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,867,512) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,867,512) x common factors =1 x 12 = 12

LCM(60,867,512) = ( 60 × 867 × 512 ) / 12

LCM(60,867,512) = 26634240 / 12

LCM(60,867,512) = 2219520


Lets's calculate GCF of 258,80,838

2 258, 80, 838
129, 40, 419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2219520/2

Therefore the LCM of Fractions 60/258,867/80,512/838 is 1109760

Greatest Common Factor of 258,80,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,80,838 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 258,80,838 . The biggest common factor number is the GCF number.
So the greatest common factor 258,80,838 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 60/258, 867/80, 512/838

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 60/258, 867/80, 512/838?

Answer: LCM of Numerators as per given numbers 60/258, 867/80, 512/838 is

LCM of Numerators i.e. for 60,867,512 is 2219520

GCF of denominators i.e. for 258,80,838 is 2.

Thus, LCM of Fractions is 1109760.Finally, LCM of Fractions for 60/258, 867/80, 512/838 is 1109760.