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LCM of 201, 424, 402, 631, 992

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


Find the LCM of 201, 424, 402, 631, 992 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 201, 424, 402, 631, 992. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,424,402,631,992

Given numbers are 201,424,402,631,992

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

The LCM of 201,424,402,631,992 is 6668266656.

Find LCM of 201,424,402,631,992 with Prime Factorization


2 201, 424, 402, 631, 992
2 201, 212, 201, 631, 496
2 201, 106, 201, 631, 248
3 201, 53, 201, 631, 124
67 67, 53, 67, 631, 124
1, 53, 1, 631, 124

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

2 x 2 x 2 x 3 x 67 x 1 x 53 x 1 x 631 x 124 = 6668266656

Therefore, the lowest common multiple of 201,424,402,631,992 is 6668266656.

LCM Formula to Find Lowest Common Multiple of 201,424,402,631,992

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.

201 x 424 x 402 x 631 x 992 = 21445145565696

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.

201 : 1, 3, 67, 201

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

402 : 1, 2, 3, 6, 67, 134, 201, 402

631 : 1, 631

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,424,402,631,992, is 1.

Now, the common factors can be found like this.

201:3x 67

424:2x 2x 2x 53

402:2x 3x 67

631:631

992:2x 2x 2x 2x 2x 31

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 2x 3x 67 = 3216

Therefore, the value for common factors is 3216.

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 = 21445145565696/(1x3216)

LCM = 21445145565696/3216

LCM = 6668266656

Thus, we can understand that the LCM of 201,424,402,631,992 is 6668266656.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 424, 402, 631, 992

1. What is the LCM of 201, 424, 402, 631, 992?

Answer: LCM of 201, 424, 402, 631, 992 is 6668266656.

2. How to calculate the LCM of 201, 424, 402, 631, 992?

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 201, 424, 402, 631, 992.

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}.