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LCM of 402, 646, 664, 590, 237

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


Find the LCM of 402, 646, 664, 590, 237 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 402, 646, 664, 590, 237. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,646,664,590,237

Given numbers are 402,646,664,590,237

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

The LCM of 402,646,664,590,237 is 1004652261960.

Find LCM of 402,646,664,590,237 with Prime Factorization


2 402, 646, 664, 590, 237
3 201, 323, 332, 295, 237
67, 323, 332, 295, 79

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

2 x 3 x 67 x 323 x 332 x 295 x 79 = 1004652261960

Therefore, the lowest common multiple of 402,646,664,590,237 is 1004652261960.

LCM Formula to Find Lowest Common Multiple of 402,646,664,590,237

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.

402 x 646 x 664 x 590 x 237 = 24111654287040

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.

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

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

664 : 1, 2, 4, 8, 83, 166, 332, 664

590 : 1, 2, 5, 10, 59, 118, 295, 590

237 : 1, 3, 79, 237

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,646,664,590,237, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

646:2x 17x 19

664:2x 2x 2x 83

590:2x 5x 59

237:3x 79

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 3 = 24

Therefore, the value for common factors is 24.

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 = 24111654287040/(1x24)

LCM = 24111654287040/24

LCM = 1004652261960

Thus, we can understand that the LCM of 402,646,664,590,237 is 1004652261960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 646, 664, 590, 237

1. What is the LCM of 402, 646, 664, 590, 237?

Answer: LCM of 402, 646, 664, 590, 237 is 1004652261960.

2. How to calculate the LCM of 402, 646, 664, 590, 237?

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 402, 646, 664, 590, 237.

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}.