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LCM of 454, 428, 762, 587

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


Find the LCM of 454, 428, 762, 587 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 454, 428, 762, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,428,762,587

Given numbers are 454,428,762,587

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

The LCM of 454,428,762,587 is 21728647932.

Find LCM of 454,428,762,587 with Prime Factorization


2 454, 428, 762, 587
227, 214, 381, 587

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

2 x 227 x 214 x 381 x 587 = 21728647932

Therefore, the lowest common multiple of 454,428,762,587 is 21728647932.

LCM Formula to Find Lowest Common Multiple of 454,428,762,587

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.

454 x 428 x 762 x 587 = 86914591728

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.

454 : 1, 2, 227, 454

428 : 1, 2, 4, 107, 214, 428

762 : 1, 2, 3, 6, 127, 254, 381, 762

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,428,762,587, is 1.

Now, the common factors can be found like this.

454:2x 227

428:2x 2x 107

762:2x 3x 127

587:587

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 = 86914591728/(1x4)

LCM = 86914591728/4

LCM = 21728647932

Thus, we can understand that the LCM of 454,428,762,587 is 21728647932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 428, 762, 587

1. What is the LCM of 454, 428, 762, 587?

Answer: LCM of 454, 428, 762, 587 is 21728647932.

2. How to calculate the LCM of 454, 428, 762, 587?

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 454, 428, 762, 587.

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}.