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LCM of 415, 554, 638, 745

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


Find the LCM of 415, 554, 638, 745 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 415, 554, 638, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,554,638,745

Given numbers are 415,554,638,745

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

The LCM of 415,554,638,745 is 10927852210.

Find LCM of 415,554,638,745 with Prime Factorization


2 415, 554, 638, 745
5 415, 277, 319, 745
83, 277, 319, 149

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

2 x 5 x 83 x 277 x 319 x 149 = 10927852210

Therefore, the lowest common multiple of 415,554,638,745 is 10927852210.

LCM Formula to Find Lowest Common Multiple of 415,554,638,745

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.

415 x 554 x 638 x 745 = 109278522100

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.

415 : 1, 5, 83, 415

554 : 1, 2, 277, 554

638 : 1, 2, 11, 22, 29, 58, 319, 638

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,554,638,745, is 1.

Now, the common factors can be found like this.

415:5x 83

554:2x 277

638:2x 11x 29

745:5x 149

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 109278522100/(1x10)

LCM = 109278522100/10

LCM = 10927852210

Thus, we can understand that the LCM of 415,554,638,745 is 10927852210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 554, 638, 745

1. What is the LCM of 415, 554, 638, 745?

Answer: LCM of 415, 554, 638, 745 is 10927852210.

2. How to calculate the LCM of 415, 554, 638, 745?

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 415, 554, 638, 745.

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}.