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LCM of 370, 459, 587, 152, 637

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


Find the LCM of 370, 459, 587, 152, 637 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 370, 459, 587, 152, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 370,459,587,152,637

Given numbers are 370,459,587,152,637

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

The LCM of 370,459,587,152,637 is 4826202446520.

Find LCM of 370,459,587,152,637 with Prime Factorization


2 370, 459, 587, 152, 637
185, 459, 587, 76, 637

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

2 x 185 x 459 x 587 x 76 x 637 = 4826202446520

Therefore, the lowest common multiple of 370,459,587,152,637 is 4826202446520.

LCM Formula to Find Lowest Common Multiple of 370,459,587,152,637

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.

370 x 459 x 587 x 152 x 637 = 9652404893040

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

459 : 1, 3, 9, 17, 27, 51, 153, 459

587 : 1, 587

152 : 1, 2, 4, 8, 19, 38, 76, 152

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,459,587,152,637, is 1.

Now, the common factors can be found like this.

370:2x 5x 37

459:3x 3x 3x 17

587:587

152:2x 2x 2x 19

637:7x 7x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 9652404893040/(1x2)

LCM = 9652404893040/2

LCM = 4826202446520

Thus, we can understand that the LCM of 370,459,587,152,637 is 4826202446520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 370, 459, 587, 152, 637

1. What is the LCM of 370, 459, 587, 152, 637?

Answer: LCM of 370, 459, 587, 152, 637 is 4826202446520.

2. How to calculate the LCM of 370, 459, 587, 152, 637?

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 370, 459, 587, 152, 637.

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}.