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LCM of 454, 630, 327, 832

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


Find the LCM of 454, 630, 327, 832 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 454, 630, 327, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,630,327,832

Given numbers are 454,630,327,832

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

The LCM of 454,630,327,832 is 6484645440.

Find LCM of 454,630,327,832 with Prime Factorization


2 454, 630, 327, 832
3 227, 315, 327, 416
227, 105, 109, 416

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

2 x 3 x 227 x 105 x 109 x 416 = 6484645440

Therefore, the lowest common multiple of 454,630,327,832 is 6484645440.

LCM Formula to Find Lowest Common Multiple of 454,630,327,832

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.

454 x 630 x 327 x 832 = 77815745280

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.

454 : 1, 2, 227, 454

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

327 : 1, 3, 109, 327

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,630,327,832, is 1.

Now, the common factors can be found like this.

454:2x 227

630:2x 3x 3x 5x 7

327:3x 109

832:2x 2x 2x 2x 2x 2x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 77815745280/(1x12)

LCM = 77815745280/12

LCM = 6484645440

Thus, we can understand that the LCM of 454,630,327,832 is 6484645440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 630, 327, 832

1. What is the LCM of 454, 630, 327, 832?

Answer: LCM of 454, 630, 327, 832 is 6484645440.

2. How to calculate the LCM of 454, 630, 327, 832?

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 454, 630, 327, 832.

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}.