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LCM of 606, 828, 598, 648, 529

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


Find the LCM of 606, 828, 598, 648, 529 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 606, 828, 598, 648, 529. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 606,828,598,648,529

Given numbers are 606,828,598,648,529

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

The LCM of 606,828,598,648,529 is 450085896.

Find LCM of 606,828,598,648,529 with Prime Factorization


2 606, 828, 598, 648, 529
2 303, 414, 299, 324, 529
3 303, 207, 299, 162, 529
3 101, 69, 299, 54, 529
23 101, 23, 299, 18, 529
101, 1, 13, 18, 23

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

2 x 2 x 3 x 3 x 23 x 101 x 1 x 13 x 18 x 23 = 450085896

Therefore, the lowest common multiple of 606,828,598,648,529 is 450085896.

LCM Formula to Find Lowest Common Multiple of 606,828,598,648,529

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.

606 x 828 x 598 x 648 x 529 = 102857229641088

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.

606 : 1, 2, 3, 6, 101, 202, 303, 606

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

598 : 1, 2, 13, 23, 26, 46, 299, 598

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

529 : 1, 23, 529

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,828,598,648,529, is 1.

Now, the common factors can be found like this.

606:2x 3x 101

828:2x 2x 3x 3x 23

598:2x 13x 23

648:2x 2x 2x 3x 3x 3x 3

529:23x 23

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

2x 2x 2x 2x 3x 3x 3x 23x 23 = 228528

Therefore, the value for common factors is 228528.

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 = 102857229641088/(1x228528)

LCM = 102857229641088/228528

LCM = 450085896

Thus, we can understand that the LCM of 606,828,598,648,529 is 450085896.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 606, 828, 598, 648, 529

1. What is the LCM of 606, 828, 598, 648, 529?

Answer: LCM of 606, 828, 598, 648, 529 is 450085896.

2. How to calculate the LCM of 606, 828, 598, 648, 529?

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 606, 828, 598, 648, 529.

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}.