Least Common Multiple of 312/222, 511/819, 444/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/222, 511/819, 444/751 quickly i.e. 5898984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/222, 511/819, 444/751 is 5898984.

LCM(312/222, 511/819, 444/751) = 5898984

LCM of 312/222, 511/819, 444/751

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 312/222,511/819,444/751

Given numbers are 312/222,511/819,444/751

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 312,511,444

Least Common Multiple of Numerators i.e. LCM of 312,511,444 is 5898984.

GCF of Denominators means GCF of 222,819,751 as per the given fractions.

GCF of 222,819,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,511,444

LCM of Fractions 312/222,511/819,444/751 is 5898984

2 312, 511, 444
2 156, 511, 222
3 78, 511, 111
26, 511, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 511 x 37 = 5898984

Least Common Multiple of 312,511,444 with GCF Formula

Least Common Multiple of 312,511,444 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 312,511,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,511,444) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(312,511,444) x common factors =1 x 12 = 12

LCM(312,511,444) = ( 312 × 511 × 444 ) / 12

LCM(312,511,444) = 70787808 / 12

LCM(312,511,444) = 5898984


Lets's calculate GCF of 222,819,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5898984/1

Therefore the LCM of Fractions 312/222,511/819,444/751 is 5898984

Greatest Common Factor of 222,819,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,819,751 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 222,819,751 . The biggest common factor number is the GCF number.
So the greatest common factor 222,819,751 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 312/222, 511/819, 444/751

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 312/222, 511/819, 444/751?

Answer: LCM of Numerators as per given numbers 312/222, 511/819, 444/751 is

LCM of Numerators i.e. for 312,511,444 is 5898984

GCF of denominators i.e. for 222,819,751 is 1.

Thus, LCM of Fractions is 5898984.Finally, LCM of Fractions for 312/222, 511/819, 444/751 is 5898984.