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LCM of 817, 976, 787, 830

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


Find the LCM of 817, 976, 787, 830 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 817, 976, 787, 830. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,976,787,830

Given numbers are 817,976,787,830

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

The LCM of 817,976,787,830 is 260432214160.

Find LCM of 817,976,787,830 with Prime Factorization


2 817, 976, 787, 830
817, 488, 787, 415

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

2 x 817 x 488 x 787 x 415 = 260432214160

Therefore, the lowest common multiple of 817,976,787,830 is 260432214160.

LCM Formula to Find Lowest Common Multiple of 817,976,787,830

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.

817 x 976 x 787 x 830 = 520864428320

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.

817 : 1, 19, 43, 817

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

787 : 1, 787

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,976,787,830, is 1.

Now, the common factors can be found like this.

817:19x 43

976:2x 2x 2x 2x 61

787:787

830:2x 5x 83

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 = 520864428320/(1x2)

LCM = 520864428320/2

LCM = 260432214160

Thus, we can understand that the LCM of 817,976,787,830 is 260432214160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 976, 787, 830

1. What is the LCM of 817, 976, 787, 830?

Answer: LCM of 817, 976, 787, 830 is 260432214160.

2. How to calculate the LCM of 817, 976, 787, 830?

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 817, 976, 787, 830.

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}.