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LCM of 620, 411, 262, 686, 966

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


Find the LCM of 620, 411, 262, 686, 966 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 620, 411, 262, 686, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 620,411,262,686,966

Given numbers are 620,411,262,686,966

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

The LCM of 620,411,262,686,966 is 263346022380.

Find LCM of 620,411,262,686,966 with Prime Factorization


2 620, 411, 262, 686, 966
3 310, 411, 131, 343, 483
7 310, 137, 131, 343, 161
310, 137, 131, 49, 23

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

2 x 3 x 7 x 310 x 137 x 131 x 49 x 23 = 263346022380

Therefore, the lowest common multiple of 620,411,262,686,966 is 263346022380.

LCM Formula to Find Lowest Common Multiple of 620,411,262,686,966

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.

620 x 411 x 262 x 686 x 966 = 44242131759840

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.

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

411 : 1, 3, 137, 411

262 : 1, 2, 131, 262

686 : 1, 2, 7, 14, 49, 98, 343, 686

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,411,262,686,966, is 1.

Now, the common factors can be found like this.

620:2x 2x 5x 31

411:3x 137

262:2x 131

686:2x 7x 7x 7

966:2x 3x 7x 23

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 7 = 168

Therefore, the value for common factors is 168.

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 = 44242131759840/(1x168)

LCM = 44242131759840/168

LCM = 263346022380

Thus, we can understand that the LCM of 620,411,262,686,966 is 263346022380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 620, 411, 262, 686, 966

1. What is the LCM of 620, 411, 262, 686, 966?

Answer: LCM of 620, 411, 262, 686, 966 is 263346022380.

2. How to calculate the LCM of 620, 411, 262, 686, 966?

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 620, 411, 262, 686, 966.

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}.