Least Common Multiple of 37/550, 28/192, 166/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/550, 28/192, 166/796 quickly i.e. 42994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/550, 28/192, 166/796 is 42994.

LCM(37/550, 28/192, 166/796) = 42994

LCM of 37/550, 28/192, 166/796

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 37/550,28/192,166/796

Given numbers are 37/550,28/192,166/796

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 37,28,166

Least Common Multiple of Numerators i.e. LCM of 37,28,166 is 85988.

GCF of Denominators means GCF of 550,192,796 as per the given fractions.

GCF of 550,192,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,28,166

LCM of Fractions 37/550,28/192,166/796 is 42994

2 37, 28, 166
37, 14, 83

∴ So the LCM of the given numbers is 2 x 37 x 14 x 83 = 85988

Least Common Multiple of 37,28,166 with GCF Formula

Least Common Multiple of 37,28,166 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 37,28,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,28,166) = 1

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

GCF(37,28,166) x common factors =1 x 2 = 2

LCM(37,28,166) = ( 37 × 28 × 166 ) / 2

LCM(37,28,166) = 171976 / 2

LCM(37,28,166) = 85988


Lets's calculate GCF of 550,192,796

2 550, 192, 796
275, 96, 398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85988/2

Therefore the LCM of Fractions 37/550,28/192,166/796 is 42994

Greatest Common Factor of 550,192,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,192,796 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 550,192,796 . The biggest common factor number is the GCF number.
So the greatest common factor 550,192,796 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 37/550, 28/192, 166/796

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 37/550, 28/192, 166/796?

Answer: LCM of Numerators as per given numbers 37/550, 28/192, 166/796 is

LCM of Numerators i.e. for 37,28,166 is 85988

GCF of denominators i.e. for 550,192,796 is 2.

Thus, LCM of Fractions is 42994.Finally, LCM of Fractions for 37/550, 28/192, 166/796 is 42994.