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LCM of 606, 458, 238, 477

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


Find the LCM of 606, 458, 238, 477 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 606, 458, 238, 477. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,458,238,477

Given numbers are 606,458,238,477

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

The LCM of 606,458,238,477 is 2625742854.

Find LCM of 606,458,238,477 with Prime Factorization


2 606, 458, 238, 477
3 303, 229, 119, 477
101, 229, 119, 159

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

2 x 3 x 101 x 229 x 119 x 159 = 2625742854

Therefore, the lowest common multiple of 606,458,238,477 is 2625742854.

LCM Formula to Find Lowest Common Multiple of 606,458,238,477

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.

606 x 458 x 238 x 477 = 31508914248

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

458 : 1, 2, 229, 458

238 : 1, 2, 7, 14, 17, 34, 119, 238

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,458,238,477, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

458:2x 229

238:2x 7x 17

477:3x 3x 53

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 3 = 12

Therefore, the value for common factors is 12.

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 = 31508914248/(1x12)

LCM = 31508914248/12

LCM = 2625742854

Thus, we can understand that the LCM of 606,458,238,477 is 2625742854.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 458, 238, 477

1. What is the LCM of 606, 458, 238, 477?

Answer: LCM of 606, 458, 238, 477 is 2625742854.

2. How to calculate the LCM of 606, 458, 238, 477?

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 606, 458, 238, 477.

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}.