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LCM of 237, 216, 591, 664, 375

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


Find the LCM of 237, 216, 591, 664, 375 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 237, 216, 591, 664, 375. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 237,216,591,664,375

Given numbers are 237,216,591,664,375

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

The LCM of 237,216,591,664,375 is 34876683000.

Find LCM of 237,216,591,664,375 with Prime Factorization


2 237, 216, 591, 664, 375
2 237, 108, 591, 332, 375
2 237, 54, 591, 166, 375
3 237, 27, 591, 83, 375
79, 9, 197, 83, 125

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

2 x 2 x 2 x 3 x 79 x 9 x 197 x 83 x 125 = 34876683000

Therefore, the lowest common multiple of 237,216,591,664,375 is 34876683000.

LCM Formula to Find Lowest Common Multiple of 237,216,591,664,375

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.

237 x 216 x 591 x 664 x 375 = 7533363528000

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.

237 : 1, 3, 79, 237

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

591 : 1, 3, 197, 591

664 : 1, 2, 4, 8, 83, 166, 332, 664

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,216,591,664,375, is 1.

Now, the common factors can be found like this.

237:3x 79

216:2x 2x 2x 3x 3x 3

591:3x 197

664:2x 2x 2x 83

375:3x 5x 5x 5

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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 7533363528000/(1x216)

LCM = 7533363528000/216

LCM = 34876683000

Thus, we can understand that the LCM of 237,216,591,664,375 is 34876683000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 237, 216, 591, 664, 375

1. What is the LCM of 237, 216, 591, 664, 375?

Answer: LCM of 237, 216, 591, 664, 375 is 34876683000.

2. How to calculate the LCM of 237, 216, 591, 664, 375?

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 237, 216, 591, 664, 375.

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}.