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LCM of 359, 697, 300, 984

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


Find the LCM of 359, 697, 300, 984 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 359, 697, 300, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 359,697,300,984

Given numbers are 359,697,300,984

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

The LCM of 359,697,300,984 is 150133800.

Find LCM of 359,697,300,984 with Prime Factorization


2 359, 697, 300, 984
2 359, 697, 150, 492
3 359, 697, 75, 246
41 359, 697, 25, 82
359, 17, 25, 2

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

2 x 2 x 3 x 41 x 359 x 17 x 25 x 2 = 150133800

Therefore, the lowest common multiple of 359,697,300,984 is 150133800.

LCM Formula to Find Lowest Common Multiple of 359,697,300,984

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.

359 x 697 x 300 x 984 = 73865829600

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.

359 : 1, 359

697 : 1, 17, 41, 697

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,697,300,984, is 1.

Now, the common factors can be found like this.

359:359

697:17x 41

300:2x 2x 3x 5x 5

984:2x 2x 2x 3x 41

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

2x 2x 3x 41 = 492

Therefore, the value for common factors is 492.

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 = 73865829600/(1x492)

LCM = 73865829600/492

LCM = 150133800

Thus, we can understand that the LCM of 359,697,300,984 is 150133800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 359, 697, 300, 984

1. What is the LCM of 359, 697, 300, 984?

Answer: LCM of 359, 697, 300, 984 is 150133800.

2. How to calculate the LCM of 359, 697, 300, 984?

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 359, 697, 300, 984.

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}.