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LCM of 647, 842, 814, 986

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


Find the LCM of 647, 842, 814, 986 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 647, 842, 814, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 647,842,814,986

Given numbers are 647,842,814,986

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

The LCM of 647,842,814,986 is 109309447874.

Find LCM of 647,842,814,986 with Prime Factorization


2 647, 842, 814, 986
647, 421, 407, 493

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

2 x 647 x 421 x 407 x 493 = 109309447874

Therefore, the lowest common multiple of 647,842,814,986 is 109309447874.

LCM Formula to Find Lowest Common Multiple of 647,842,814,986

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.

647 x 842 x 814 x 986 = 437237791496

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.

647 : 1, 647

842 : 1, 2, 421, 842

814 : 1, 2, 11, 22, 37, 74, 407, 814

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,842,814,986, is 1.

Now, the common factors can be found like this.

647:647

842:2x 421

814:2x 11x 37

986:2x 17x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 437237791496/(1x4)

LCM = 437237791496/4

LCM = 109309447874

Thus, we can understand that the LCM of 647,842,814,986 is 109309447874.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 647, 842, 814, 986

1. What is the LCM of 647, 842, 814, 986?

Answer: LCM of 647, 842, 814, 986 is 109309447874.

2. How to calculate the LCM of 647, 842, 814, 986?

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 647, 842, 814, 986.

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}.