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LCM of 592, 407, 497, 111

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


Find the LCM of 592, 407, 497, 111 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 592, 407, 497, 111. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,407,497,111

Given numbers are 592,407,497,111

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

The LCM of 592,407,497,111 is 9709392.

Find LCM of 592,407,497,111 with Prime Factorization


37 592, 407, 497, 111
16, 11, 497, 3

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

37 x 16 x 11 x 497 x 3 = 9709392

Therefore, the lowest common multiple of 592,407,497,111 is 9709392.

LCM Formula to Find Lowest Common Multiple of 592,407,497,111

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.

592 x 407 x 497 x 111 = 13292157648

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.

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

407 : 1, 11, 37, 407

497 : 1, 7, 71, 497

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,407,497,111, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

407:11x 37

497:7x 71

111:3x 37

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

37x 37 = 1369

Therefore, the value for common factors is 1369.

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 = 13292157648/(1x1369)

LCM = 13292157648/1369

LCM = 9709392

Thus, we can understand that the LCM of 592,407,497,111 is 9709392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 407, 497, 111

1. What is the LCM of 592, 407, 497, 111?

Answer: LCM of 592, 407, 497, 111 is 9709392.

2. How to calculate the LCM of 592, 407, 497, 111?

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 592, 407, 497, 111.

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}.