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LCM of 755, 287, 387, 215, 700

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


Find the LCM of 755, 287, 387, 215, 700 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 755, 287, 387, 215, 700. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 755,287,387,215,700

Given numbers are 755,287,387,215,700

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

The LCM of 755,287,387,215,700 is 1677141900.

Find LCM of 755,287,387,215,700 with Prime Factorization


5 755, 287, 387, 215, 700
7 151, 287, 387, 43, 140
43 151, 41, 387, 43, 20
151, 41, 9, 1, 20

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

5 x 7 x 43 x 151 x 41 x 9 x 1 x 20 = 1677141900

Therefore, the lowest common multiple of 755,287,387,215,700 is 1677141900.

LCM Formula to Find Lowest Common Multiple of 755,287,387,215,700

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.

755 x 287 x 387 x 215 x 700 = 12620492797500

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.

755 : 1, 5, 151, 755

287 : 1, 7, 41, 287

387 : 1, 3, 9, 43, 129, 387

215 : 1, 5, 43, 215

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,287,387,215,700, is 1.

Now, the common factors can be found like this.

755:5x 151

287:7x 41

387:3x 3x 43

215:5x 43

700:2x 2x 5x 5x 7

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

5x 5x 7x 43 = 7525

Therefore, the value for common factors is 7525.

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 = 12620492797500/(1x7525)

LCM = 12620492797500/7525

LCM = 1677141900

Thus, we can understand that the LCM of 755,287,387,215,700 is 1677141900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 755, 287, 387, 215, 700

1. What is the LCM of 755, 287, 387, 215, 700?

Answer: LCM of 755, 287, 387, 215, 700 is 1677141900.

2. How to calculate the LCM of 755, 287, 387, 215, 700?

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 755, 287, 387, 215, 700.

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}.