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LCM of 830, 592, 767, 707

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


Find the LCM of 830, 592, 767, 707 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, 592, 767, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 830,592,767,707

Given numbers are 830,592,767,707

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

The LCM of 830,592,767,707 is 133224647920.

Find LCM of 830,592,767,707 with Prime Factorization


2 830, 592, 767, 707
415, 296, 767, 707

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

2 x 415 x 296 x 767 x 707 = 133224647920

Therefore, the lowest common multiple of 830,592,767,707 is 133224647920.

LCM Formula to Find Lowest Common Multiple of 830,592,767,707

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 592 x 767 x 707 = 266449295840

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

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

767 : 1, 13, 59, 767

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,592,767,707, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

592:2x 2x 2x 2x 37

767:13x 59

707:7x 101

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

2 = 2

Therefore, the value for common factors is 2.

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 = 266449295840/(1x2)

LCM = 266449295840/2

LCM = 133224647920

Thus, we can understand that the LCM of 830,592,767,707 is 133224647920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 830, 592, 767, 707

1. What is the LCM of 830, 592, 767, 707?

Answer: LCM of 830, 592, 767, 707 is 133224647920.

2. How to calculate the LCM of 830, 592, 767, 707?

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, 592, 767, 707.

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}.