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LCM of 720, 830, 423, 558, 913

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


Find the LCM of 720, 830, 423, 558, 913 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 720, 830, 423, 558, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,830,423,558,913

Given numbers are 720,830,423,558,913

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

The LCM of 720,830,423,558,913 is 957773520.

Find LCM of 720,830,423,558,913 with Prime Factorization


2 720, 830, 423, 558, 913
3 360, 415, 423, 279, 913
3 120, 415, 141, 93, 913
5 40, 415, 47, 31, 913
83 8, 83, 47, 31, 913
8, 1, 47, 31, 11

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

2 x 3 x 3 x 5 x 83 x 8 x 1 x 47 x 31 x 11 = 957773520

Therefore, the lowest common multiple of 720,830,423,558,913 is 957773520.

LCM Formula to Find Lowest Common Multiple of 720,830,423,558,913

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.

720 x 830 x 423 x 558 x 913 = 128782227499200

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

423 : 1, 3, 9, 47, 141, 423

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,830,423,558,913, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

830:2x 5x 83

423:3x 3x 47

558:2x 3x 3x 31

913:11x 83

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 3x 3x 3x 3x 5x 83 = 134460

Therefore, the value for common factors is 134460.

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 = 128782227499200/(1x134460)

LCM = 128782227499200/134460

LCM = 957773520

Thus, we can understand that the LCM of 720,830,423,558,913 is 957773520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 830, 423, 558, 913

1. What is the LCM of 720, 830, 423, 558, 913?

Answer: LCM of 720, 830, 423, 558, 913 is 957773520.

2. How to calculate the LCM of 720, 830, 423, 558, 913?

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 720, 830, 423, 558, 913.

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}.