Least Common Multiple of 837/66, 900/23, 284/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 837/66, 900/23, 284/381 quickly i.e. 5942700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 837/66, 900/23, 284/381 is 5942700.

LCM(837/66, 900/23, 284/381) = 5942700

LCM of 837/66, 900/23, 284/381

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 837/66,900/23,284/381

Given numbers are 837/66,900/23,284/381

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 837,900,284

Least Common Multiple of Numerators i.e. LCM of 837,900,284 is 5942700.

GCF of Denominators means GCF of 66,23,381 as per the given fractions.

GCF of 66,23,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 837,900,284

LCM of Fractions 837/66,900/23,284/381 is 5942700

2 837, 900, 284
2 837, 450, 142
3 837, 225, 71
3 279, 75, 71
93, 25, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 93 x 25 x 71 = 5942700

Least Common Multiple of 837,900,284 with GCF Formula

Least Common Multiple of 837,900,284 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 837,900,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(837,900,284) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(837,900,284) x common factors =1 x 36 = 36

LCM(837,900,284) = ( 837 × 900 × 284 ) / 36

LCM(837,900,284) = 213937200 / 36

LCM(837,900,284) = 5942700


Lets's calculate GCF of 66,23,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5942700/1

Therefore the LCM of Fractions 837/66,900/23,284/381 is 5942700

Greatest Common Factor of 66,23,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,23,381 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 66,23,381 . The biggest common factor number is the GCF number.
So the greatest common factor 66,23,381 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 837/66, 900/23, 284/381

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 837/66, 900/23, 284/381?

Answer: LCM of Numerators as per given numbers 837/66, 900/23, 284/381 is

LCM of Numerators i.e. for 837,900,284 is 5942700

GCF of denominators i.e. for 66,23,381 is 1.

Thus, LCM of Fractions is 5942700.Finally, LCM of Fractions for 837/66, 900/23, 284/381 is 5942700.