Least Common Multiple of 867/111, 633/411, 697/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/111, 633/411, 697/170 quickly i.e. 7500417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/111, 633/411, 697/170 is 7500417.

LCM(867/111, 633/411, 697/170) = 7500417

LCM of 867/111, 633/411, 697/170

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 867/111,633/411,697/170

Given numbers are 867/111,633/411,697/170

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 867,633,697

Least Common Multiple of Numerators i.e. LCM of 867,633,697 is 7500417.

GCF of Denominators means GCF of 111,411,170 as per the given fractions.

GCF of 111,411,170 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,633,697

LCM of Fractions 867/111,633/411,697/170 is 7500417

3 867, 633, 697
17 289, 211, 697
17, 211, 41

∴ So the LCM of the given numbers is 3 x 17 x 17 x 211 x 41 = 7500417

Least Common Multiple of 867,633,697 with GCF Formula

Least Common Multiple of 867,633,697 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 867,633,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,633,697) = 1

common factors(in case of two or more numbers have common factors) = 51

GCF(867,633,697) x common factors =1 x 51 = 51

LCM(867,633,697) = ( 867 × 633 × 697 ) / 51

LCM(867,633,697) = 382521267 / 51

LCM(867,633,697) = 7500417


Lets's calculate GCF of 111,411,170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7500417/1

Therefore the LCM of Fractions 867/111,633/411,697/170 is 7500417

Greatest Common Factor of 111,411,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,411,170 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 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 111,411,170 . The biggest common factor number is the GCF number.
So the greatest common factor 111,411,170 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 867/111, 633/411, 697/170

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 867/111, 633/411, 697/170?

Answer: LCM of Numerators as per given numbers 867/111, 633/411, 697/170 is

LCM of Numerators i.e. for 867,633,697 is 7500417

GCF of denominators i.e. for 111,411,170 is 1.

Thus, LCM of Fractions is 7500417.Finally, LCM of Fractions for 867/111, 633/411, 697/170 is 7500417.