Least Common Multiple of 449/67, 751/21, 796/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/67, 751/21, 796/442 quickly i.e. 268410404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/67, 751/21, 796/442 is 268410404.

LCM(449/67, 751/21, 796/442) = 268410404

LCM of 449/67, 751/21, 796/442

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 449/67,751/21,796/442

Given numbers are 449/67,751/21,796/442

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 449,751,796

Least Common Multiple of Numerators i.e. LCM of 449,751,796 is 268410404.

GCF of Denominators means GCF of 67,21,442 as per the given fractions.

GCF of 67,21,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,751,796

LCM of Fractions 449/67,751/21,796/442 is 268410404

Given numbers has no common factors except 1. So, there LCM is their product i.e 268410404

Least Common Multiple of 449,751,796 with GCF Formula

Least Common Multiple of 449,751,796 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 449,751,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,751,796) = 1

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

GCF(449,751,796) x common factors =1 x 1 = 1

LCM(449,751,796) = ( 449 × 751 × 796 ) / 1

LCM(449,751,796) = 268410404 / 1

LCM(449,751,796) = 268410404


Lets's calculate GCF of 67,21,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268410404/1

Therefore the LCM of Fractions 449/67,751/21,796/442 is 268410404

Greatest Common Factor of 67,21,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,21,442 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 21

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

1,3,7,21

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 67,21,442 . The biggest common factor number is the GCF number.
So the greatest common factor 67,21,442 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 449/67, 751/21, 796/442

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 449/67, 751/21, 796/442?

Answer: LCM of Numerators as per given numbers 449/67, 751/21, 796/442 is

LCM of Numerators i.e. for 449,751,796 is 268410404

GCF of denominators i.e. for 67,21,442 is 1.

Thus, LCM of Fractions is 268410404.Finally, LCM of Fractions for 449/67, 751/21, 796/442 is 268410404.