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LCM of 462, 815, 141, 238

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


Find the LCM of 462, 815, 141, 238 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, 815, 141, 238. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,815,141,238

Given numbers are 462,815,141,238

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

The LCM of 462,815,141,238 is 300847470.

Find LCM of 462,815,141,238 with Prime Factorization


2 462, 815, 141, 238
3 231, 815, 141, 119
7 77, 815, 47, 119
11, 815, 47, 17

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

2 x 3 x 7 x 11 x 815 x 47 x 17 = 300847470

Therefore, the lowest common multiple of 462,815,141,238 is 300847470.

LCM Formula to Find Lowest Common Multiple of 462,815,141,238

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 815 x 141 x 238 = 12635593740

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

815 : 1, 5, 163, 815

141 : 1, 3, 47, 141

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,815,141,238, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

815:5x 163

141:3x 47

238:2x 7x 17

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

2x 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 12635593740/(1x42)

LCM = 12635593740/42

LCM = 300847470

Thus, we can understand that the LCM of 462,815,141,238 is 300847470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 815, 141, 238

1. What is the LCM of 462, 815, 141, 238?

Answer: LCM of 462, 815, 141, 238 is 300847470.

2. How to calculate the LCM of 462, 815, 141, 238?

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, 815, 141, 238.

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}.