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LCM of 662, 424, 401, 660

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


Find the LCM of 662, 424, 401, 660 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 662, 424, 401, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,424,401,660

Given numbers are 662,424,401,660

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

The LCM of 662,424,401,660 is 9285860760.

Find LCM of 662,424,401,660 with Prime Factorization


2 662, 424, 401, 660
2 331, 212, 401, 330
331, 106, 401, 165

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

2 x 2 x 331 x 106 x 401 x 165 = 9285860760

Therefore, the lowest common multiple of 662,424,401,660 is 9285860760.

LCM Formula to Find Lowest Common Multiple of 662,424,401,660

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.

662 x 424 x 401 x 660 = 74286886080

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.

662 : 1, 2, 331, 662

424 : 1, 2, 4, 8, 53, 106, 212, 424

401 : 1, 401

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,424,401,660, is 1.

Now, the common factors can be found like this.

662:2x 331

424:2x 2x 2x 53

401:401

660:2x 2x 3x 5x 11

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 2 = 8

Therefore, the value for common factors is 8.

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 = 74286886080/(1x8)

LCM = 74286886080/8

LCM = 9285860760

Thus, we can understand that the LCM of 662,424,401,660 is 9285860760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 424, 401, 660

1. What is the LCM of 662, 424, 401, 660?

Answer: LCM of 662, 424, 401, 660 is 9285860760.

2. How to calculate the LCM of 662, 424, 401, 660?

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 662, 424, 401, 660.

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}.