Least Common Multiple of 300/992, 842/878, 336/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/992, 842/878, 336/264 quickly i.e. 1768200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/992, 842/878, 336/264 is 1768200.

LCM(300/992, 842/878, 336/264) = 1768200

LCM of 300/992, 842/878, 336/264

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 300/992,842/878,336/264

Given numbers are 300/992,842/878,336/264

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 300,842,336

Least Common Multiple of Numerators i.e. LCM of 300,842,336 is 3536400.

GCF of Denominators means GCF of 992,878,264 as per the given fractions.

GCF of 992,878,264 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,842,336

LCM of Fractions 300/992,842/878,336/264 is 1768200

2 300, 842, 336
2 150, 421, 168
3 75, 421, 84
25, 421, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 421 x 28 = 3536400

Least Common Multiple of 300,842,336 with GCF Formula

Least Common Multiple of 300,842,336 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 300,842,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,842,336) = 2

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

GCF(300,842,336) x common factors =2 x 12 = 24

LCM(300,842,336) = ( 300 × 842 × 336 ) / 24

LCM(300,842,336) = 84873600 / 24

LCM(300,842,336) = 3536400


Lets's calculate GCF of 992,878,264

2 992, 878, 264
496, 439, 132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3536400/2

Therefore the LCM of Fractions 300/992,842/878,336/264 is 1768200

Greatest Common Factor of 992,878,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,878,264 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 992,878,264 . The biggest common factor number is the GCF number.
So the greatest common factor 992,878,264 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 300/992, 842/878, 336/264

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 300/992, 842/878, 336/264?

Answer: LCM of Numerators as per given numbers 300/992, 842/878, 336/264 is

LCM of Numerators i.e. for 300,842,336 is 3536400

GCF of denominators i.e. for 992,878,264 is 2.

Thus, LCM of Fractions is 1768200.Finally, LCM of Fractions for 300/992, 842/878, 336/264 is 1768200.