Least Common Multiple of 99/368, 70/734, 267/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/368, 70/734, 267/418 quickly i.e. 308385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/368, 70/734, 267/418 is 308385.

LCM(99/368, 70/734, 267/418) = 308385

LCM of 99/368, 70/734, 267/418

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 99/368,70/734,267/418

Given numbers are 99/368,70/734,267/418

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 99,70,267

Least Common Multiple of Numerators i.e. LCM of 99,70,267 is 616770.

GCF of Denominators means GCF of 368,734,418 as per the given fractions.

GCF of 368,734,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,70,267

LCM of Fractions 99/368,70/734,267/418 is 308385

3 99, 70, 267
33, 70, 89

∴ So the LCM of the given numbers is 3 x 33 x 70 x 89 = 616770

Least Common Multiple of 99,70,267 with GCF Formula

Least Common Multiple of 99,70,267 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 99,70,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,70,267) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,70,267) x common factors =1 x 3 = 3

LCM(99,70,267) = ( 99 × 70 × 267 ) / 3

LCM(99,70,267) = 1850310 / 3

LCM(99,70,267) = 616770


Lets's calculate GCF of 368,734,418

2 368, 734, 418
184, 367, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616770/2

Therefore the LCM of Fractions 99/368,70/734,267/418 is 308385

Greatest Common Factor of 368,734,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,734,418 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 368,734,418 . The biggest common factor number is the GCF number.
So the greatest common factor 368,734,418 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 99/368, 70/734, 267/418

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 99/368, 70/734, 267/418?

Answer: LCM of Numerators as per given numbers 99/368, 70/734, 267/418 is

LCM of Numerators i.e. for 99,70,267 is 616770

GCF of denominators i.e. for 368,734,418 is 2.

Thus, LCM of Fractions is 308385.Finally, LCM of Fractions for 99/368, 70/734, 267/418 is 308385.