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LCM of 242, 829, 462, 182, 621

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


Find the LCM of 242, 829, 462, 182, 621 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 242, 829, 462, 182, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,829,462,182,621

Given numbers are 242,829,462,182,621

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

The LCM of 242,829,462,182,621 is 11337123798.

Find LCM of 242,829,462,182,621 with Prime Factorization


2 242, 829, 462, 182, 621
3 121, 829, 231, 91, 621
7 121, 829, 77, 91, 207
11 121, 829, 11, 13, 207
1, 829, 11, 13, 207

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

2 x 3 x 7 x 11 x 1 x 829 x 11 x 13 x 207 = 11337123798

Therefore, the lowest common multiple of 242,829,462,182,621 is 11337123798.

LCM Formula to Find Lowest Common Multiple of 242,829,462,182,621

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.

242 x 829 x 462 x 182 x 621 = 10475502389352

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.

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

829 : 1, 829

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

182 : 1, 2, 7, 13, 14, 26, 91, 182

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,829,462,182,621, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

829:829

462:2x 3x 7x 11

182:2x 7x 13

621:3x 3x 3x 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 3x 7x 11 = 924

Therefore, the value for common factors is 924.

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 = 10475502389352/(1x924)

LCM = 10475502389352/924

LCM = 11337123798

Thus, we can understand that the LCM of 242,829,462,182,621 is 11337123798.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 829, 462, 182, 621

1. What is the LCM of 242, 829, 462, 182, 621?

Answer: LCM of 242, 829, 462, 182, 621 is 11337123798.

2. How to calculate the LCM of 242, 829, 462, 182, 621?

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 242, 829, 462, 182, 621.

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}.