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LCM of 703, 150, 432, 585, 299

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


Find the LCM of 703, 150, 432, 585, 299 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 703, 150, 432, 585, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,150,432,585,299

Given numbers are 703,150,432,585,299

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

The LCM of 703,150,432,585,299 is 2270127600.

Find LCM of 703,150,432,585,299 with Prime Factorization


2 703, 150, 432, 585, 299
3 703, 75, 216, 585, 299
3 703, 25, 72, 195, 299
5 703, 25, 24, 65, 299
13 703, 5, 24, 13, 299
703, 5, 24, 1, 23

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

2 x 3 x 3 x 5 x 13 x 703 x 5 x 24 x 1 x 23 = 2270127600

Therefore, the lowest common multiple of 703,150,432,585,299 is 2270127600.

LCM Formula to Find Lowest Common Multiple of 703,150,432,585,299

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.

703 x 150 x 432 x 585 x 299 = 7968147876000

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.

703 : 1, 19, 37, 703

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,150,432,585,299, is 1.

Now, the common factors can be found like this.

703:19x 37

150:2x 3x 5x 5

432:2x 2x 2x 2x 3x 3x 3

585:3x 3x 5x 13

299:13x 23

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

2x 3x 3x 3x 5x 13 = 3510

Therefore, the value for common factors is 3510.

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 = 7968147876000/(1x3510)

LCM = 7968147876000/3510

LCM = 2270127600

Thus, we can understand that the LCM of 703,150,432,585,299 is 2270127600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 150, 432, 585, 299

1. What is the LCM of 703, 150, 432, 585, 299?

Answer: LCM of 703, 150, 432, 585, 299 is 2270127600.

2. How to calculate the LCM of 703, 150, 432, 585, 299?

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 703, 150, 432, 585, 299.

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}.