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LCM of 125, 407, 242, 553, 592

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


Find the LCM of 125, 407, 242, 553, 592 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 125, 407, 242, 553, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 125,407,242,553,592

Given numbers are 125,407,242,553,592

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

The LCM of 125,407,242,553,592 is 4951562000.

Find LCM of 125,407,242,553,592 with Prime Factorization


2 125, 407, 242, 553, 592
11 125, 407, 121, 553, 296
37 125, 37, 11, 553, 296
125, 1, 11, 553, 8

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

2 x 11 x 37 x 125 x 1 x 11 x 553 x 8 = 4951562000

Therefore, the lowest common multiple of 125,407,242,553,592 is 4951562000.

LCM Formula to Find Lowest Common Multiple of 125,407,242,553,592

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.

125 x 407 x 242 x 553 x 592 = 4030571468000

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.

125 : 1, 5, 25, 125

407 : 1, 11, 37, 407

242 : 1, 2, 11, 22, 121, 242

553 : 1, 7, 79, 553

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,407,242,553,592, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

407:11x 37

242:2x 11x 11

553:7x 79

592:2x 2x 2x 2x 37

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

2x 11x 37 = 814

Therefore, the value for common factors is 814.

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 = 4030571468000/(1x814)

LCM = 4030571468000/814

LCM = 4951562000

Thus, we can understand that the LCM of 125,407,242,553,592 is 4951562000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 125, 407, 242, 553, 592

1. What is the LCM of 125, 407, 242, 553, 592?

Answer: LCM of 125, 407, 242, 553, 592 is 4951562000.

2. How to calculate the LCM of 125, 407, 242, 553, 592?

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 125, 407, 242, 553, 592.

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}.