Least Common Multiple of 194/38, 345/76, 810/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 194/38, 345/76, 810/743 quickly i.e. 1807110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 194/38, 345/76, 810/743 is 1807110.

LCM(194/38, 345/76, 810/743) = 1807110

LCM of 194/38, 345/76, 810/743

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 194/38,345/76,810/743

Given numbers are 194/38,345/76,810/743

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 194,345,810

Least Common Multiple of Numerators i.e. LCM of 194,345,810 is 1807110.

GCF of Denominators means GCF of 38,76,743 as per the given fractions.

GCF of 38,76,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 194,345,810

LCM of Fractions 194/38,345/76,810/743 is 1807110

2 194, 345, 810
3 97, 345, 405
5 97, 115, 135
97, 23, 27

∴ So the LCM of the given numbers is 2 x 3 x 5 x 97 x 23 x 27 = 1807110

Least Common Multiple of 194,345,810 with GCF Formula

Least Common Multiple of 194,345,810 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 194,345,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,345,810) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(194,345,810) x common factors =1 x 30 = 30

LCM(194,345,810) = ( 194 × 345 × 810 ) / 30

LCM(194,345,810) = 54213300 / 30

LCM(194,345,810) = 1807110


Lets's calculate GCF of 38,76,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1807110/1

Therefore the LCM of Fractions 194/38,345/76,810/743 is 1807110

Greatest Common Factor of 38,76,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,76,743 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 38,76,743 . The biggest common factor number is the GCF number.
So the greatest common factor 38,76,743 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 194/38, 345/76, 810/743

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 194/38, 345/76, 810/743?

Answer: LCM of Numerators as per given numbers 194/38, 345/76, 810/743 is

LCM of Numerators i.e. for 194,345,810 is 1807110

GCF of denominators i.e. for 38,76,743 is 1.

Thus, LCM of Fractions is 1807110.Finally, LCM of Fractions for 194/38, 345/76, 810/743 is 1807110.