Least Common Multiple of 336/50, 488/72, 206/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 336/50, 488/72, 206/912 quickly i.e. 1055544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 336/50, 488/72, 206/912 is 1055544.

LCM(336/50, 488/72, 206/912) = 1055544

LCM of 336/50, 488/72, 206/912

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 336/50,488/72,206/912

Given numbers are 336/50,488/72,206/912

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 336,488,206

Least Common Multiple of Numerators i.e. LCM of 336,488,206 is 2111088.

GCF of Denominators means GCF of 50,72,912 as per the given fractions.

GCF of 50,72,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 336,488,206

LCM of Fractions 336/50,488/72,206/912 is 1055544

2 336, 488, 206
2 168, 244, 103
2 84, 122, 103
42, 61, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 42 x 61 x 103 = 2111088

Least Common Multiple of 336,488,206 with GCF Formula

Least Common Multiple of 336,488,206 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 336,488,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,488,206) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(336,488,206) x common factors =2 x 8 = 16

LCM(336,488,206) = ( 336 × 488 × 206 ) / 16

LCM(336,488,206) = 33777408 / 16

LCM(336,488,206) = 2111088


Lets's calculate GCF of 50,72,912

2 50, 72, 912
25, 36, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2111088/2

Therefore the LCM of Fractions 336/50,488/72,206/912 is 1055544

Greatest Common Factor of 50,72,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,72,912 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 50,72,912 . The biggest common factor number is the GCF number.
So the greatest common factor 50,72,912 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 336/50, 488/72, 206/912

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 336/50, 488/72, 206/912?

Answer: LCM of Numerators as per given numbers 336/50, 488/72, 206/912 is

LCM of Numerators i.e. for 336,488,206 is 2111088

GCF of denominators i.e. for 50,72,912 is 2.

Thus, LCM of Fractions is 1055544.Finally, LCM of Fractions for 336/50, 488/72, 206/912 is 1055544.