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LCM of 201, 136, 970, 322, 646

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


Find the LCM of 201, 136, 970, 322, 646 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, 136, 970, 322, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 201,136,970,322,646

Given numbers are 201,136,970,322,646

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

The LCM of 201,136,970,322,646 is 40556099640.

Find LCM of 201,136,970,322,646 with Prime Factorization


2 201, 136, 970, 322, 646
17 201, 68, 485, 161, 323
201, 4, 485, 161, 19

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

2 x 17 x 201 x 4 x 485 x 161 x 19 = 40556099640

Therefore, the lowest common multiple of 201,136,970,322,646 is 40556099640.

LCM Formula to Find Lowest Common Multiple of 201,136,970,322,646

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 136 x 970 x 322 x 646 = 5515629551040

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

970 : 1, 2, 5, 10, 97, 194, 485, 970

322 : 1, 2, 7, 14, 23, 46, 161, 322

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,136,970,322,646, is 1.

Now, the common factors can be found like this.

201:3x 67

136:2x 2x 2x 17

970:2x 5x 97

322:2x 7x 23

646:2x 17x 19

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 17 = 136

Therefore, the value for common factors is 136.

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 = 5515629551040/(1x136)

LCM = 5515629551040/136

LCM = 40556099640

Thus, we can understand that the LCM of 201,136,970,322,646 is 40556099640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 201, 136, 970, 322, 646

1. What is the LCM of 201, 136, 970, 322, 646?

Answer: LCM of 201, 136, 970, 322, 646 is 40556099640.

2. How to calculate the LCM of 201, 136, 970, 322, 646?

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, 136, 970, 322, 646.

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}.