Least Common Multiple of 92/368, 71/606, 227/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/368, 71/606, 227/734 quickly i.e. 741382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/368, 71/606, 227/734 is 741382.

LCM(92/368, 71/606, 227/734) = 741382

LCM of 92/368, 71/606, 227/734

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 92/368,71/606,227/734

Given numbers are 92/368,71/606,227/734

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 92,71,227

Least Common Multiple of Numerators i.e. LCM of 92,71,227 is 1482764.

GCF of Denominators means GCF of 368,606,734 as per the given fractions.

GCF of 368,606,734 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,71,227

LCM of Fractions 92/368,71/606,227/734 is 741382

Given numbers has no common factors except 1. So, there LCM is their product i.e 1482764

Least Common Multiple of 92,71,227 with GCF Formula

Least Common Multiple of 92,71,227 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 92,71,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,71,227) = 1

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

GCF(92,71,227) x common factors =1 x 1 = 1

LCM(92,71,227) = ( 92 × 71 × 227 ) / 1

LCM(92,71,227) = 1482764 / 1

LCM(92,71,227) = 1482764


Lets's calculate GCF of 368,606,734

2 368, 606, 734
184, 303, 367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1482764/2

Therefore the LCM of Fractions 92/368,71/606,227/734 is 741382

Greatest Common Factor of 368,606,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,606,734 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 368,606,734 . The biggest common factor number is the GCF number.
So the greatest common factor 368,606,734 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 92/368, 71/606, 227/734

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 92/368, 71/606, 227/734?

Answer: LCM of Numerators as per given numbers 92/368, 71/606, 227/734 is

LCM of Numerators i.e. for 92,71,227 is 1482764

GCF of denominators i.e. for 368,606,734 is 2.

Thus, LCM of Fractions is 741382.Finally, LCM of Fractions for 92/368, 71/606, 227/734 is 741382.