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LCM of 437, 575, 141, 479, 230

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 437, 575, 141, 479, 230 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 437, 575, 141, 479, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 437,575,141,479,230

Given numbers are 437,575,141,479,230

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 437,575,141,479,230 is 1475727150.

Find LCM of 437,575,141,479,230 with Prime Factorization


5 437, 575, 141, 479, 230
23 437, 115, 141, 479, 46
19, 5, 141, 479, 2

Multiply the prime numbers at the bottom and the left side.

5 x 23 x 19 x 5 x 141 x 479 x 2 = 1475727150

Therefore, the lowest common multiple of 437,575,141,479,230 is 1475727150.

LCM Formula to Find Lowest Common Multiple of 437,575,141,479,230

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

437 x 575 x 141 x 479 x 230 = 3903298311750

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

437 : 1, 19, 23, 437

575 : 1, 5, 23, 25, 115, 575

141 : 1, 3, 47, 141

479 : 1, 479

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,575,141,479,230, is 1.

Now, the common factors can be found like this.

437:19x 23

575:5x 5x 23

141:3x 47

479:479

230:2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 23x 23 = 2645

Therefore, the value for common factors is 2645.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3903298311750/(1x2645)

LCM = 3903298311750/2645

LCM = 1475727150

Thus, we can understand that the LCM of 437,575,141,479,230 is 1475727150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 437, 575, 141, 479, 230

1. What is the LCM of 437, 575, 141, 479, 230?

Answer: LCM of 437, 575, 141, 479, 230 is 1475727150.

2. How to calculate the LCM of 437, 575, 141, 479, 230?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 437, 575, 141, 479, 230.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.