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LCM of 254, 819, 462, 458

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


Find the LCM of 254, 819, 462, 458 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 254, 819, 462, 458. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,819,462,458

Given numbers are 254,819,462,458

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

The LCM of 254,819,462,458 is 524017494.

Find LCM of 254,819,462,458 with Prime Factorization


2 254, 819, 462, 458
3 127, 819, 231, 229
7 127, 273, 77, 229
127, 39, 11, 229

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

2 x 3 x 7 x 127 x 39 x 11 x 229 = 524017494

Therefore, the lowest common multiple of 254,819,462,458 is 524017494.

LCM Formula to Find Lowest Common Multiple of 254,819,462,458

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.

254 x 819 x 462 x 458 = 44017469496

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.

254 : 1, 2, 127, 254

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

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

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,819,462,458, is 1.

Now, the common factors can be found like this.

254:2x 127

819:3x 3x 7x 13

462:2x 3x 7x 11

458:2x 229

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 44017469496/(1x84)

LCM = 44017469496/84

LCM = 524017494

Thus, we can understand that the LCM of 254,819,462,458 is 524017494.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 819, 462, 458

1. What is the LCM of 254, 819, 462, 458?

Answer: LCM of 254, 819, 462, 458 is 524017494.

2. How to calculate the LCM of 254, 819, 462, 458?

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 254, 819, 462, 458.

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}.