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LCM of 662, 345, 725, 550

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


Find the LCM of 662, 345, 725, 550 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 662, 345, 725, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,345,725,550

Given numbers are 662,345,725,550

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

The LCM of 662,345,725,550 is 364282050.

Find LCM of 662,345,725,550 with Prime Factorization


2 662, 345, 725, 550
5 331, 345, 725, 275
5 331, 69, 145, 55
331, 69, 29, 11

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

2 x 5 x 5 x 331 x 69 x 29 x 11 = 364282050

Therefore, the lowest common multiple of 662,345,725,550 is 364282050.

LCM Formula to Find Lowest Common Multiple of 662,345,725,550

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.

662 x 345 x 725 x 550 = 91070512500

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.

662 : 1, 2, 331, 662

345 : 1, 3, 5, 15, 23, 69, 115, 345

725 : 1, 5, 25, 29, 145, 725

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,345,725,550, is 1.

Now, the common factors can be found like this.

662:2x 331

345:3x 5x 23

725:5x 5x 29

550:2x 5x 5x 11

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

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 91070512500/(1x250)

LCM = 91070512500/250

LCM = 364282050

Thus, we can understand that the LCM of 662,345,725,550 is 364282050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 345, 725, 550

1. What is the LCM of 662, 345, 725, 550?

Answer: LCM of 662, 345, 725, 550 is 364282050.

2. How to calculate the LCM of 662, 345, 725, 550?

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 662, 345, 725, 550.

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}.