Least Common Multiple of 99/68, 67/21, 40/475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/68, 67/21, 40/475 quickly i.e. 265320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/68, 67/21, 40/475 is 265320.

LCM(99/68, 67/21, 40/475) = 265320

LCM of 99/68, 67/21, 40/475

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 99/68,67/21,40/475

Given numbers are 99/68,67/21,40/475

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 99,67,40

Least Common Multiple of Numerators i.e. LCM of 99,67,40 is 265320.

GCF of Denominators means GCF of 68,21,475 as per the given fractions.

GCF of 68,21,475 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,67,40

LCM of Fractions 99/68,67/21,40/475 is 265320

Given numbers has no common factors except 1. So, there LCM is their product i.e 265320

Least Common Multiple of 99,67,40 with GCF Formula

Least Common Multiple of 99,67,40 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 99,67,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,67,40) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(99,67,40) x common factors =1 x 1 = 1

LCM(99,67,40) = ( 99 × 67 × 40 ) / 1

LCM(99,67,40) = 265320 / 1

LCM(99,67,40) = 265320


Lets's calculate GCF of 68,21,475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265320/1

Therefore the LCM of Fractions 99/68,67/21,40/475 is 265320

Greatest Common Factor of 68,21,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,21,475 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 68,21,475 . The biggest common factor number is the GCF number.
So the greatest common factor 68,21,475 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 99/68, 67/21, 40/475

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 99/68, 67/21, 40/475?

Answer: LCM of Numerators as per given numbers 99/68, 67/21, 40/475 is

LCM of Numerators i.e. for 99,67,40 is 265320

GCF of denominators i.e. for 68,21,475 is 1.

Thus, LCM of Fractions is 265320.Finally, LCM of Fractions for 99/68, 67/21, 40/475 is 265320.