LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 817, 704, 152, 984, 844

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


Find the LCM of 817, 704, 152, 984, 844 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, 704, 152, 984, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,704,152,984,844

Given numbers are 817,704,152,984,844

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

The LCM of 817,704,152,984,844 is 14927335104.

Find LCM of 817,704,152,984,844 with Prime Factorization


2 817, 704, 152, 984, 844
2 817, 352, 76, 492, 422
2 817, 176, 38, 246, 211
19 817, 88, 19, 123, 211
43, 88, 1, 123, 211

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

2 x 2 x 2 x 19 x 43 x 88 x 1 x 123 x 211 = 14927335104

Therefore, the lowest common multiple of 817,704,152,984,844 is 14927335104.

LCM Formula to Find Lowest Common Multiple of 817,704,152,984,844

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 704 x 152 x 984 x 844 = 72606557945856

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

152 : 1, 2, 4, 8, 19, 38, 76, 152

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,704,152,984,844, is 1.

Now, the common factors can be found like this.

817:19x 43

704:2x 2x 2x 2x 2x 2x 11

152:2x 2x 2x 19

984:2x 2x 2x 3x 41

844:2x 2x 211

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 2x 2x 2x 19 = 4864

Therefore, the value for common factors is 4864.

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 = 72606557945856/(1x4864)

LCM = 72606557945856/4864

LCM = 14927335104

Thus, we can understand that the LCM of 817,704,152,984,844 is 14927335104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 704, 152, 984, 844

1. What is the LCM of 817, 704, 152, 984, 844?

Answer: LCM of 817, 704, 152, 984, 844 is 14927335104.

2. How to calculate the LCM of 817, 704, 152, 984, 844?

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, 704, 152, 984, 844.

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}.