Least Common Multiple of 842/111, 867/173, 257/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 842/111, 867/173, 257/470 quickly i.e. 187613598 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 842/111, 867/173, 257/470 is 187613598.

LCM(842/111, 867/173, 257/470) = 187613598

LCM of 842/111, 867/173, 257/470

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 842/111,867/173,257/470

Given numbers are 842/111,867/173,257/470

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 842,867,257

Least Common Multiple of Numerators i.e. LCM of 842,867,257 is 187613598.

GCF of Denominators means GCF of 111,173,470 as per the given fractions.

GCF of 111,173,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 842,867,257

LCM of Fractions 842/111,867/173,257/470 is 187613598

Given numbers has no common factors except 1. So, there LCM is their product i.e 187613598

Least Common Multiple of 842,867,257 with GCF Formula

Least Common Multiple of 842,867,257 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 842,867,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,867,257) = 1

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

GCF(842,867,257) x common factors =1 x 1 = 1

LCM(842,867,257) = ( 842 × 867 × 257 ) / 1

LCM(842,867,257) = 187613598 / 1

LCM(842,867,257) = 187613598


Lets's calculate GCF of 111,173,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187613598/1

Therefore the LCM of Fractions 842/111,867/173,257/470 is 187613598

Greatest Common Factor of 111,173,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,173,470 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 111,173,470 . The biggest common factor number is the GCF number.
So the greatest common factor 111,173,470 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 842/111, 867/173, 257/470

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 842/111, 867/173, 257/470?

Answer: LCM of Numerators as per given numbers 842/111, 867/173, 257/470 is

LCM of Numerators i.e. for 842,867,257 is 187613598

GCF of denominators i.e. for 111,173,470 is 1.

Thus, LCM of Fractions is 187613598.Finally, LCM of Fractions for 842/111, 867/173, 257/470 is 187613598.