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LCM of 237, 661, 461, 390

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


Find the LCM of 237, 661, 461, 390 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 237, 661, 461, 390. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 237,661,461,390

Given numbers are 237,661,461,390

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

The LCM of 237,661,461,390 is 9388454010.

Find LCM of 237,661,461,390 with Prime Factorization


3 237, 661, 461, 390
79, 661, 461, 130

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

3 x 79 x 661 x 461 x 130 = 9388454010

Therefore, the lowest common multiple of 237,661,461,390 is 9388454010.

LCM Formula to Find Lowest Common Multiple of 237,661,461,390

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.

237 x 661 x 461 x 390 = 28165362030

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.

237 : 1, 3, 79, 237

661 : 1, 661

461 : 1, 461

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,661,461,390, is 1.

Now, the common factors can be found like this.

237:3x 79

661:661

461:461

390:2x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 28165362030/(1x3)

LCM = 28165362030/3

LCM = 9388454010

Thus, we can understand that the LCM of 237,661,461,390 is 9388454010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 237, 661, 461, 390

1. What is the LCM of 237, 661, 461, 390?

Answer: LCM of 237, 661, 461, 390 is 9388454010.

2. How to calculate the LCM of 237, 661, 461, 390?

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 237, 661, 461, 390.

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}.