Least Common Multiple of 446/68, 172/13, 850/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 446/68, 172/13, 850/699 quickly i.e. 16301300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 446/68, 172/13, 850/699 is 16301300.

LCM(446/68, 172/13, 850/699) = 16301300

LCM of 446/68, 172/13, 850/699

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 446/68,172/13,850/699

Given numbers are 446/68,172/13,850/699

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 446,172,850

Least Common Multiple of Numerators i.e. LCM of 446,172,850 is 16301300.

GCF of Denominators means GCF of 68,13,699 as per the given fractions.

GCF of 68,13,699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 446,172,850

LCM of Fractions 446/68,172/13,850/699 is 16301300

2 446, 172, 850
223, 86, 425

∴ So the LCM of the given numbers is 2 x 223 x 86 x 425 = 16301300

Least Common Multiple of 446,172,850 with GCF Formula

Least Common Multiple of 446,172,850 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 446,172,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,172,850) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(446,172,850) x common factors =2 x 2 = 4

LCM(446,172,850) = ( 446 × 172 × 850 ) / 4

LCM(446,172,850) = 65205200 / 4

LCM(446,172,850) = 16301300


Lets's calculate GCF of 68,13,699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16301300/1

Therefore the LCM of Fractions 446/68,172/13,850/699 is 16301300

Greatest Common Factor of 68,13,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,13,699 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 68,13,699 . The biggest common factor number is the GCF number.
So the greatest common factor 68,13,699 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 446/68, 172/13, 850/699

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 446/68, 172/13, 850/699?

Answer: LCM of Numerators as per given numbers 446/68, 172/13, 850/699 is

LCM of Numerators i.e. for 446,172,850 is 16301300

GCF of denominators i.e. for 68,13,699 is 1.

Thus, LCM of Fractions is 16301300.Finally, LCM of Fractions for 446/68, 172/13, 850/699 is 16301300.