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LCM of 456, 251, 417

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


Find the LCM of 456, 251, 417 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 456, 251, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,251,417

Given numbers are 456,251,417

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

The LCM of 456,251,417 is 15909384.

Find LCM of 456,251,417 with Prime Factorization


3 456, 251, 417
152, 251, 139

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

3 x 152 x 251 x 139 = 15909384

Therefore, the lowest common multiple of 456,251,417 is 15909384.

LCM Formula to Find Lowest Common Multiple of 456,251,417

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.

456 x 251 x 417 = 47728152

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

251 : 1, 251

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,251,417, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

251:251

417:3x 139

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

3 = 3

Therefore, the value for common factors is 3.

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 = 47728152/(1x3)

LCM = 47728152/3

LCM = 15909384

Thus, we can understand that the LCM of 456,251,417 is 15909384.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 456, 251, 417

1. What is the LCM of 456, 251, 417?

Answer: LCM of 456, 251, 417 is 15909384.

2. How to calculate the LCM of 456, 251, 417?

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 456, 251, 417.

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}.