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LCM of 470, 606, 182, 293

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


Find the LCM of 470, 606, 182, 293 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 470, 606, 182, 293. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,606,182,293

Given numbers are 470,606,182,293

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

The LCM of 470,606,182,293 is 3797077830.

Find LCM of 470,606,182,293 with Prime Factorization


2 470, 606, 182, 293
235, 303, 91, 293

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

2 x 235 x 303 x 91 x 293 = 3797077830

Therefore, the lowest common multiple of 470,606,182,293 is 3797077830.

LCM Formula to Find Lowest Common Multiple of 470,606,182,293

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.

470 x 606 x 182 x 293 = 15188311320

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,606,182,293, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

606:2x 3x 101

182:2x 7x 13

293:293

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 15188311320/(1x4)

LCM = 15188311320/4

LCM = 3797077830

Thus, we can understand that the LCM of 470,606,182,293 is 3797077830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 606, 182, 293

1. What is the LCM of 470, 606, 182, 293?

Answer: LCM of 470, 606, 182, 293 is 3797077830.

2. How to calculate the LCM of 470, 606, 182, 293?

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 470, 606, 182, 293.

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}.