Least Common Multiple of 399/99, 798/59, 269/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 399/99, 798/59, 269/621 quickly i.e. 214662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 399/99, 798/59, 269/621 is 214662.

LCM(399/99, 798/59, 269/621) = 214662

LCM of 399/99, 798/59, 269/621

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 399/99,798/59,269/621

Given numbers are 399/99,798/59,269/621

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 399,798,269

Least Common Multiple of Numerators i.e. LCM of 399,798,269 is 214662.

GCF of Denominators means GCF of 99,59,621 as per the given fractions.

GCF of 99,59,621 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 399,798,269

LCM of Fractions 399/99,798/59,269/621 is 214662

3 399, 798, 269
7 133, 266, 269
19 19, 38, 269
1, 2, 269

∴ So the LCM of the given numbers is 3 x 7 x 19 x 1 x 2 x 269 = 214662

Least Common Multiple of 399,798,269 with GCF Formula

Least Common Multiple of 399,798,269 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 399,798,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,798,269) = 1

common factors(in case of two or more numbers have common factors) = 399

GCF(399,798,269) x common factors =1 x 399 = 399

LCM(399,798,269) = ( 399 × 798 × 269 ) / 399

LCM(399,798,269) = 85650138 / 399

LCM(399,798,269) = 214662


Lets's calculate GCF of 99,59,621

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214662/1

Therefore the LCM of Fractions 399/99,798/59,269/621 is 214662

Greatest Common Factor of 99,59,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,59,621 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 99,59,621 . The biggest common factor number is the GCF number.
So the greatest common factor 99,59,621 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 399/99, 798/59, 269/621

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 399/99, 798/59, 269/621?

Answer: LCM of Numerators as per given numbers 399/99, 798/59, 269/621 is

LCM of Numerators i.e. for 399,798,269 is 214662

GCF of denominators i.e. for 99,59,621 is 1.

Thus, LCM of Fractions is 214662.Finally, LCM of Fractions for 399/99, 798/59, 269/621 is 214662.