Least Common Multiple of 437/69, 393/37, 494/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 437/69, 393/37, 494/302 quickly i.e. 4465266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 437/69, 393/37, 494/302 is 4465266.

LCM(437/69, 393/37, 494/302) = 4465266

LCM of 437/69, 393/37, 494/302

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 437/69,393/37,494/302

Given numbers are 437/69,393/37,494/302

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 437,393,494

Least Common Multiple of Numerators i.e. LCM of 437,393,494 is 4465266.

GCF of Denominators means GCF of 69,37,302 as per the given fractions.

GCF of 69,37,302 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 437,393,494

LCM of Fractions 437/69,393/37,494/302 is 4465266

19 437, 393, 494
23, 393, 26

∴ So the LCM of the given numbers is 19 x 23 x 393 x 26 = 4465266

Least Common Multiple of 437,393,494 with GCF Formula

Least Common Multiple of 437,393,494 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 437,393,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,393,494) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(437,393,494) x common factors =1 x 19 = 19

LCM(437,393,494) = ( 437 × 393 × 494 ) / 19

LCM(437,393,494) = 84840054 / 19

LCM(437,393,494) = 4465266


Lets's calculate GCF of 69,37,302

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4465266/1

Therefore the LCM of Fractions 437/69,393/37,494/302 is 4465266

Greatest Common Factor of 69,37,302 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,37,302 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Greatest Common Factor

We found the factors 69,37,302 . The biggest common factor number is the GCF number.
So the greatest common factor 69,37,302 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 437/69, 393/37, 494/302

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 437/69, 393/37, 494/302?

Answer: LCM of Numerators as per given numbers 437/69, 393/37, 494/302 is

LCM of Numerators i.e. for 437,393,494 is 4465266

GCF of denominators i.e. for 69,37,302 is 1.

Thus, LCM of Fractions is 4465266.Finally, LCM of Fractions for 437/69, 393/37, 494/302 is 4465266.