Least Common Multiple of 216/76, 265/12, 146/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/76, 265/12, 146/994 quickly i.e. 2089260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/76, 265/12, 146/994 is 2089260.

LCM(216/76, 265/12, 146/994) = 2089260

LCM of 216/76, 265/12, 146/994

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 216/76,265/12,146/994

Given numbers are 216/76,265/12,146/994

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 216,265,146

Least Common Multiple of Numerators i.e. LCM of 216,265,146 is 4178520.

GCF of Denominators means GCF of 76,12,994 as per the given fractions.

GCF of 76,12,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,265,146

LCM of Fractions 216/76,265/12,146/994 is 2089260

2 216, 265, 146
108, 265, 73

∴ So the LCM of the given numbers is 2 x 108 x 265 x 73 = 4178520

Least Common Multiple of 216,265,146 with GCF Formula

Least Common Multiple of 216,265,146 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 216,265,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,265,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(216,265,146) x common factors =1 x 2 = 2

LCM(216,265,146) = ( 216 × 265 × 146 ) / 2

LCM(216,265,146) = 8357040 / 2

LCM(216,265,146) = 4178520


Lets's calculate GCF of 76,12,994

2 76, 12, 994
38, 6, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4178520/2

Therefore the LCM of Fractions 216/76,265/12,146/994 is 2089260

Greatest Common Factor of 76,12,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,12,994 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 76,12,994 . The biggest common factor number is the GCF number.
So the greatest common factor 76,12,994 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 216/76, 265/12, 146/994

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 216/76, 265/12, 146/994?

Answer: LCM of Numerators as per given numbers 216/76, 265/12, 146/994 is

LCM of Numerators i.e. for 216,265,146 is 4178520

GCF of denominators i.e. for 76,12,994 is 2.

Thus, LCM of Fractions is 2089260.Finally, LCM of Fractions for 216/76, 265/12, 146/994 is 2089260.