Least Common Multiple of 278/73, 168/72, 166/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/73, 168/72, 166/849 quickly i.e. 1938216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/73, 168/72, 166/849 is 1938216.

LCM(278/73, 168/72, 166/849) = 1938216

LCM of 278/73, 168/72, 166/849

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 278/73,168/72,166/849

Given numbers are 278/73,168/72,166/849

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 278,168,166

Least Common Multiple of Numerators i.e. LCM of 278,168,166 is 1938216.

GCF of Denominators means GCF of 73,72,849 as per the given fractions.

GCF of 73,72,849 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,168,166

LCM of Fractions 278/73,168/72,166/849 is 1938216

2 278, 168, 166
139, 84, 83

∴ So the LCM of the given numbers is 2 x 139 x 84 x 83 = 1938216

Least Common Multiple of 278,168,166 with GCF Formula

Least Common Multiple of 278,168,166 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 278,168,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,168,166) = 2

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

GCF(278,168,166) x common factors =2 x 2 = 4

LCM(278,168,166) = ( 278 × 168 × 166 ) / 4

LCM(278,168,166) = 7752864 / 4

LCM(278,168,166) = 1938216


Lets's calculate GCF of 73,72,849

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1938216/1

Therefore the LCM of Fractions 278/73,168/72,166/849 is 1938216

Greatest Common Factor of 73,72,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,72,849 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 73,72,849 . The biggest common factor number is the GCF number.
So the greatest common factor 73,72,849 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 278/73, 168/72, 166/849

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 278/73, 168/72, 166/849?

Answer: LCM of Numerators as per given numbers 278/73, 168/72, 166/849 is

LCM of Numerators i.e. for 278,168,166 is 1938216

GCF of denominators i.e. for 73,72,849 is 1.

Thus, LCM of Fractions is 1938216.Finally, LCM of Fractions for 278/73, 168/72, 166/849 is 1938216.