Least Common Multiple of 336/46, 805/88, 861/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/46, 805/88, 861/286 quickly i.e. 792120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/46, 805/88, 861/286 is 792120.

LCM(336/46, 805/88, 861/286) = 792120

LCM of 336/46, 805/88, 861/286

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 336/46,805/88,861/286

Given numbers are 336/46,805/88,861/286

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 336,805,861

Least Common Multiple of Numerators i.e. LCM of 336,805,861 is 1584240.

GCF of Denominators means GCF of 46,88,286 as per the given fractions.

GCF of 46,88,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,805,861

LCM of Fractions 336/46,805/88,861/286 is 792120

3 336, 805, 861
7 112, 805, 287
16, 115, 41

∴ So the LCM of the given numbers is 3 x 7 x 16 x 115 x 41 = 1584240

Least Common Multiple of 336,805,861 with GCF Formula

Least Common Multiple of 336,805,861 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 336,805,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,805,861) = 7

common factors(in case of two or more numbers have common factors) = 21

GCF(336,805,861) x common factors =7 x 21 = 147

LCM(336,805,861) = ( 336 × 805 × 861 ) / 147

LCM(336,805,861) = 232883280 / 147

LCM(336,805,861) = 1584240


Lets's calculate GCF of 46,88,286

2 46, 88, 286
23, 44, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1584240/2

Therefore the LCM of Fractions 336/46,805/88,861/286 is 792120

Greatest Common Factor of 46,88,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,88,286 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 46,88,286 . The biggest common factor number is the GCF number.
So the greatest common factor 46,88,286 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 336/46, 805/88, 861/286

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 336/46, 805/88, 861/286?

Answer: LCM of Numerators as per given numbers 336/46, 805/88, 861/286 is

LCM of Numerators i.e. for 336,805,861 is 1584240

GCF of denominators i.e. for 46,88,286 is 2.

Thus, LCM of Fractions is 792120.Finally, LCM of Fractions for 336/46, 805/88, 861/286 is 792120.