Least Common Multiple of 74/992, 223/212, 367/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/992, 223/212, 367/804 quickly i.e. 6056234/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/992, 223/212, 367/804 is 6056234/4.

LCM(74/992, 223/212, 367/804) = 6056234/4

LCM of 74/992, 223/212, 367/804

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 74/992,223/212,367/804

Given numbers are 74/992,223/212,367/804

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 74,223,367

Least Common Multiple of Numerators i.e. LCM of 74,223,367 is 6056234.

GCF of Denominators means GCF of 992,212,804 as per the given fractions.

GCF of 992,212,804 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,223,367

LCM of Fractions 74/992,223/212,367/804 is 6056234/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 6056234

Least Common Multiple of 74,223,367 with GCF Formula

Least Common Multiple of 74,223,367 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 74,223,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,223,367) = 1

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

GCF(74,223,367) x common factors =1 x 1 = 1

LCM(74,223,367) = ( 74 × 223 × 367 ) / 1

LCM(74,223,367) = 6056234 / 1

LCM(74,223,367) = 6056234


Lets's calculate GCF of 992,212,804

2 992, 212, 804
2 496, 106, 402
248, 53, 201

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6056234/4

Therefore the LCM of Fractions 74/992,223/212,367/804 is 6056234/4

Greatest Common Factor of 992,212,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,212,804 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 992,212,804 . The biggest common factor number is the GCF number.
So the greatest common factor 992,212,804 is 4.


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 74/992, 223/212, 367/804

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 74/992, 223/212, 367/804?

Answer: LCM of Numerators as per given numbers 74/992, 223/212, 367/804 is

LCM of Numerators i.e. for 74,223,367 is 6056234

GCF of denominators i.e. for 992,212,804 is 4.

Thus, LCM of Fractions is 6056234/4.Finally, LCM of Fractions for 74/992, 223/212, 367/804 is 6056234/4.