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LCM of 830, 604, 738, 828, 464

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


Find the LCM of 830, 604, 738, 828, 464 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 830, 604, 738, 828, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,604,738,828,464

Given numbers are 830,604,738,828,464

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

The LCM of 830,604,738,828,464 is 246772764720.

Find LCM of 830,604,738,828,464 with Prime Factorization


2 830, 604, 738, 828, 464
2 415, 302, 369, 414, 232
3 415, 151, 369, 207, 116
3 415, 151, 123, 69, 116
415, 151, 41, 23, 116

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

2 x 2 x 3 x 3 x 415 x 151 x 41 x 23 x 116 = 246772764720

Therefore, the lowest common multiple of 830,604,738,828,464 is 246772764720.

LCM Formula to Find Lowest Common Multiple of 830,604,738,828,464

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.

830 x 604 x 738 x 828 x 464 = 142141112478720

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

604 : 1, 2, 4, 151, 302, 604

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,604,738,828,464, is 2.

Now, the common factors can be found like this.

830:2x 5x 83

604:2x 2x 151

738:2x 3x 3x 41

828:2x 2x 3x 3x 23

464:2x 2x 2x 2x 29

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 2x 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 142141112478720/(2x288)

LCM = 142141112478720/576

LCM = 246772764720

Thus, we can understand that the LCM of 830,604,738,828,464 is 246772764720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 604, 738, 828, 464

1. What is the LCM of 830, 604, 738, 828, 464?

Answer: LCM of 830, 604, 738, 828, 464 is 246772764720.

2. How to calculate the LCM of 830, 604, 738, 828, 464?

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 830, 604, 738, 828, 464.

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}.