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LCM of 251, 545, 756, 330, 465

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


Find the LCM of 251, 545, 756, 330, 465 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 251, 545, 756, 330, 465. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,545,756,330,465

Given numbers are 251,545,756,330,465

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

The LCM of 251,545,756,330,465 is 35265203820.

Find LCM of 251,545,756,330,465 with Prime Factorization


2 251, 545, 756, 330, 465
3 251, 545, 378, 165, 465
5 251, 545, 126, 55, 155
251, 109, 126, 11, 31

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

2 x 3 x 5 x 251 x 109 x 126 x 11 x 31 = 35265203820

Therefore, the lowest common multiple of 251,545,756,330,465 is 35265203820.

LCM Formula to Find Lowest Common Multiple of 251,545,756,330,465

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.

251 x 545 x 756 x 330 x 465 = 15869341719000

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.

251 : 1, 251

545 : 1, 5, 109, 545

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,545,756,330,465, is 1.

Now, the common factors can be found like this.

251:251

545:5x 109

756:2x 2x 3x 3x 3x 7

330:2x 3x 5x 11

465:3x 5x 31

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 15869341719000/(1x450)

LCM = 15869341719000/450

LCM = 35265203820

Thus, we can understand that the LCM of 251,545,756,330,465 is 35265203820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 545, 756, 330, 465

1. What is the LCM of 251, 545, 756, 330, 465?

Answer: LCM of 251, 545, 756, 330, 465 is 35265203820.

2. How to calculate the LCM of 251, 545, 756, 330, 465?

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 251, 545, 756, 330, 465.

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}.