Least Common Multiple of 199/737, 214/378, 279/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/737, 214/378, 279/810 quickly i.e. 11881494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/737, 214/378, 279/810 is 11881494.

LCM(199/737, 214/378, 279/810) = 11881494

LCM of 199/737, 214/378, 279/810

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 199/737,214/378,279/810

Given numbers are 199/737,214/378,279/810

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 199,214,279

Least Common Multiple of Numerators i.e. LCM of 199,214,279 is 11881494.

GCF of Denominators means GCF of 737,378,810 as per the given fractions.

GCF of 737,378,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,214,279

LCM of Fractions 199/737,214/378,279/810 is 11881494

Given numbers has no common factors except 1. So, there LCM is their product i.e 11881494

Least Common Multiple of 199,214,279 with GCF Formula

Least Common Multiple of 199,214,279 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 199,214,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,214,279) = 1

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

GCF(199,214,279) x common factors =1 x 1 = 1

LCM(199,214,279) = ( 199 × 214 × 279 ) / 1

LCM(199,214,279) = 11881494 / 1

LCM(199,214,279) = 11881494


Lets's calculate GCF of 737,378,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11881494/1

Therefore the LCM of Fractions 199/737,214/378,279/810 is 11881494

Greatest Common Factor of 737,378,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,378,810 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 737,378,810 . The biggest common factor number is the GCF number.
So the greatest common factor 737,378,810 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 199/737, 214/378, 279/810

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 199/737, 214/378, 279/810?

Answer: LCM of Numerators as per given numbers 199/737, 214/378, 279/810 is

LCM of Numerators i.e. for 199,214,279 is 11881494

GCF of denominators i.e. for 737,378,810 is 1.

Thus, LCM of Fractions is 11881494.Finally, LCM of Fractions for 199/737, 214/378, 279/810 is 11881494.