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LCM of 102, 646, 383, 474, 984

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


Find the LCM of 102, 646, 383, 474, 984 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 102, 646, 383, 474, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,646,383,474,984

Given numbers are 102,646,383,474,984

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

The LCM of 102,646,383,474,984 is 9616642824.

Find LCM of 102,646,383,474,984 with Prime Factorization


2 102, 646, 383, 474, 984
3 51, 323, 383, 237, 492
17 17, 323, 383, 79, 164
1, 19, 383, 79, 164

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

2 x 3 x 17 x 1 x 19 x 383 x 79 x 164 = 9616642824

Therefore, the lowest common multiple of 102,646,383,474,984 is 9616642824.

LCM Formula to Find Lowest Common Multiple of 102,646,383,474,984

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.

102 x 646 x 383 x 474 x 984 = 11770770816576

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

646 : 1, 2, 17, 19, 34, 38, 323, 646

383 : 1, 383

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,646,383,474,984, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

646:2x 17x 19

383:383

474:2x 3x 79

984:2x 2x 2x 3x 41

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 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 11770770816576/(1x1224)

LCM = 11770770816576/1224

LCM = 9616642824

Thus, we can understand that the LCM of 102,646,383,474,984 is 9616642824.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 646, 383, 474, 984

1. What is the LCM of 102, 646, 383, 474, 984?

Answer: LCM of 102, 646, 383, 474, 984 is 9616642824.

2. How to calculate the LCM of 102, 646, 383, 474, 984?

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 102, 646, 383, 474, 984.

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}.