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LCM of 630, 377, 435, 455

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


Find the LCM of 630, 377, 435, 455 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 630, 377, 435, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 630,377,435,455

Given numbers are 630,377,435,455

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

The LCM of 630,377,435,455 is 237510.

Find LCM of 630,377,435,455 with Prime Factorization


3 630, 377, 435, 455
5 210, 377, 145, 455
7 42, 377, 29, 91
13 6, 377, 29, 13
29 6, 29, 29, 1
6, 1, 1, 1

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

3 x 5 x 7 x 13 x 29 x 6 x 1 x 1 x 1 = 237510

Therefore, the lowest common multiple of 630,377,435,455 is 237510.

LCM Formula to Find Lowest Common Multiple of 630,377,435,455

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.

630 x 377 x 435 x 455 = 47009166750

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.

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

377 : 1, 13, 29, 377

435 : 1, 3, 5, 15, 29, 87, 145, 435

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,377,435,455, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

377:13x 29

435:3x 5x 29

455:5x 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.

3x 5x 5x 7x 13x 29 = 197925

Therefore, the value for common factors is 197925.

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 = 47009166750/(1x197925)

LCM = 47009166750/197925

LCM = 237510

Thus, we can understand that the LCM of 630,377,435,455 is 237510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 630, 377, 435, 455

1. What is the LCM of 630, 377, 435, 455?

Answer: LCM of 630, 377, 435, 455 is 237510.

2. How to calculate the LCM of 630, 377, 435, 455?

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 630, 377, 435, 455.

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}.