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LCM of 829, 290, 920, 139, 643

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


Find the LCM of 829, 290, 920, 139, 643 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 829, 290, 920, 139, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,290,920,139,643

Given numbers are 829,290,920,139,643

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

The LCM of 829,290,920,139,643 is 1976815460440.

Find LCM of 829,290,920,139,643 with Prime Factorization


2 829, 290, 920, 139, 643
5 829, 145, 460, 139, 643
829, 29, 92, 139, 643

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

2 x 5 x 829 x 29 x 92 x 139 x 643 = 1976815460440

Therefore, the lowest common multiple of 829,290,920,139,643 is 1976815460440.

LCM Formula to Find Lowest Common Multiple of 829,290,920,139,643

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.

829 x 290 x 920 x 139 x 643 = 19768154604400

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.

829 : 1, 829

290 : 1, 2, 5, 10, 29, 58, 145, 290

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

139 : 1, 139

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,290,920,139,643, is 1.

Now, the common factors can be found like this.

829:829

290:2x 5x 29

920:2x 2x 2x 5x 23

139:139

643:643

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 = 19768154604400/(1x10)

LCM = 19768154604400/10

LCM = 1976815460440

Thus, we can understand that the LCM of 829,290,920,139,643 is 1976815460440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 290, 920, 139, 643

1. What is the LCM of 829, 290, 920, 139, 643?

Answer: LCM of 829, 290, 920, 139, 643 is 1976815460440.

2. How to calculate the LCM of 829, 290, 920, 139, 643?

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 829, 290, 920, 139, 643.

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}.