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LCM of 479, 450, 764, 946, 821

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


Find the LCM of 479, 450, 764, 946, 821 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 479, 450, 764, 946, 821. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,450,764,946,821

Given numbers are 479,450,764,946,821

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

The LCM of 479,450,764,946,821 is 31975378053300.

Find LCM of 479,450,764,946,821 with Prime Factorization


2 479, 450, 764, 946, 821
479, 225, 382, 473, 821

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

2 x 479 x 225 x 382 x 473 x 821 = 31975378053300

Therefore, the lowest common multiple of 479,450,764,946,821 is 31975378053300.

LCM Formula to Find Lowest Common Multiple of 479,450,764,946,821

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.

479 x 450 x 764 x 946 x 821 = 127901512213200

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.

479 : 1, 479

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

764 : 1, 2, 4, 191, 382, 764

946 : 1, 2, 11, 22, 43, 86, 473, 946

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,450,764,946,821, is 1.

Now, the common factors can be found like this.

479:479

450:2x 3x 3x 5x 5

764:2x 2x 191

946:2x 11x 43

821:821

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 127901512213200/(1x4)

LCM = 127901512213200/4

LCM = 31975378053300

Thus, we can understand that the LCM of 479,450,764,946,821 is 31975378053300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 450, 764, 946, 821

1. What is the LCM of 479, 450, 764, 946, 821?

Answer: LCM of 479, 450, 764, 946, 821 is 31975378053300.

2. How to calculate the LCM of 479, 450, 764, 946, 821?

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 479, 450, 764, 946, 821.

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}.