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LCM of 820, 257, 623, 494, 534

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


Find the LCM of 820, 257, 623, 494, 534 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 820, 257, 623, 494, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,257,623,494,534

Given numbers are 820,257,623,494,534

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

The LCM of 820,257,623,494,534 is 97286645820.

Find LCM of 820,257,623,494,534 with Prime Factorization


2 820, 257, 623, 494, 534
89 410, 257, 623, 247, 267
410, 257, 7, 247, 3

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

2 x 89 x 410 x 257 x 7 x 247 x 3 = 97286645820

Therefore, the lowest common multiple of 820,257,623,494,534 is 97286645820.

LCM Formula to Find Lowest Common Multiple of 820,257,623,494,534

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.

820 x 257 x 623 x 494 x 534 = 34634045911920

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

257 : 1, 257

623 : 1, 7, 89, 623

494 : 1, 2, 13, 19, 26, 38, 247, 494

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,257,623,494,534, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

257:257

623:7x 89

494:2x 13x 19

534:2x 3x 89

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 89 = 356

Therefore, the value for common factors is 356.

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 = 34634045911920/(1x356)

LCM = 34634045911920/356

LCM = 97286645820

Thus, we can understand that the LCM of 820,257,623,494,534 is 97286645820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 257, 623, 494, 534

1. What is the LCM of 820, 257, 623, 494, 534?

Answer: LCM of 820, 257, 623, 494, 534 is 97286645820.

2. How to calculate the LCM of 820, 257, 623, 494, 534?

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 820, 257, 623, 494, 534.

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}.