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LCM of 450, 766, 219, 791

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


Find the LCM of 450, 766, 219, 791 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 450, 766, 219, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 450,766,219,791

Given numbers are 450,766,219,791

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

The LCM of 450,766,219,791 is 9952006050.

Find LCM of 450,766,219,791 with Prime Factorization


2 450, 766, 219, 791
3 225, 383, 219, 791
75, 383, 73, 791

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

2 x 3 x 75 x 383 x 73 x 791 = 9952006050

Therefore, the lowest common multiple of 450,766,219,791 is 9952006050.

LCM Formula to Find Lowest Common Multiple of 450,766,219,791

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.

450 x 766 x 219 x 791 = 59712036300

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.

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

766 : 1, 2, 383, 766

219 : 1, 3, 73, 219

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,766,219,791, is 1.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

766:2x 383

219:3x 73

791:7x 113

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 59712036300/(1x6)

LCM = 59712036300/6

LCM = 9952006050

Thus, we can understand that the LCM of 450,766,219,791 is 9952006050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 450, 766, 219, 791

1. What is the LCM of 450, 766, 219, 791?

Answer: LCM of 450, 766, 219, 791 is 9952006050.

2. How to calculate the LCM of 450, 766, 219, 791?

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 450, 766, 219, 791.

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}.