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LCM of 462, 182, 208

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


Find the LCM of 462, 182, 208 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 462, 182, 208. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,182,208

Given numbers are 462,182,208

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

The LCM of 462,182,208 is 48048.

Find LCM of 462,182,208 with Prime Factorization


2 462, 182, 208
7 231, 91, 104
13 33, 13, 104
33, 1, 8

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

2 x 7 x 13 x 33 x 1 x 8 = 48048

Therefore, the lowest common multiple of 462,182,208 is 48048.

LCM Formula to Find Lowest Common Multiple of 462,182,208

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.

462 x 182 x 208 = 17489472

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,182,208, is 2.

Now, the common factors can be found like this.

462:2x 3x 7x 11

182:2x 7x 13

208:2x 2x 2x 2x 13

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

2x 7x 13 = 182

Therefore, the value for common factors is 182.

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 = 17489472/(2x182)

LCM = 17489472/364

LCM = 48048

Thus, we can understand that the LCM of 462,182,208 is 48048.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 462, 182, 208

1. What is the LCM of 462, 182, 208?

Answer: LCM of 462, 182, 208 is 48048.

2. How to calculate the LCM of 462, 182, 208?

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 462, 182, 208.

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}.