Least Common Multiple of 34/163, 110/115, 267/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/163, 110/115, 267/825 quickly i.e. 499290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/163, 110/115, 267/825 is 499290.

LCM(34/163, 110/115, 267/825) = 499290

LCM of 34/163, 110/115, 267/825

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 34/163,110/115,267/825

Given numbers are 34/163,110/115,267/825

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 34,110,267

Least Common Multiple of Numerators i.e. LCM of 34,110,267 is 499290.

GCF of Denominators means GCF of 163,115,825 as per the given fractions.

GCF of 163,115,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,110,267

LCM of Fractions 34/163,110/115,267/825 is 499290

2 34, 110, 267
17, 55, 267

∴ So the LCM of the given numbers is 2 x 17 x 55 x 267 = 499290

Least Common Multiple of 34,110,267 with GCF Formula

Least Common Multiple of 34,110,267 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 34,110,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,110,267) = 1

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

GCF(34,110,267) x common factors =1 x 2 = 2

LCM(34,110,267) = ( 34 × 110 × 267 ) / 2

LCM(34,110,267) = 998580 / 2

LCM(34,110,267) = 499290


Lets's calculate GCF of 163,115,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 499290/1

Therefore the LCM of Fractions 34/163,110/115,267/825 is 499290

Greatest Common Factor of 163,115,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,115,825 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 163,115,825 . The biggest common factor number is the GCF number.
So the greatest common factor 163,115,825 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 34/163, 110/115, 267/825

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 34/163, 110/115, 267/825?

Answer: LCM of Numerators as per given numbers 34/163, 110/115, 267/825 is

LCM of Numerators i.e. for 34,110,267 is 499290

GCF of denominators i.e. for 163,115,825 is 1.

Thus, LCM of Fractions is 499290.Finally, LCM of Fractions for 34/163, 110/115, 267/825 is 499290.