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LCM of 829, 869, 611, 247

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


Find the LCM of 829, 869, 611, 247 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, 869, 611, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 829,869,611,247

Given numbers are 829,869,611,247

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

The LCM of 829,869,611,247 is 8363135209.

Find LCM of 829,869,611,247 with Prime Factorization


13 829, 869, 611, 247
829, 869, 47, 19

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

13 x 829 x 869 x 47 x 19 = 8363135209

Therefore, the lowest common multiple of 829,869,611,247 is 8363135209.

LCM Formula to Find Lowest Common Multiple of 829,869,611,247

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 869 x 611 x 247 = 108720757717

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

869 : 1, 11, 79, 869

611 : 1, 13, 47, 611

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,869,611,247, is 1.

Now, the common factors can be found like this.

829:829

869:11x 79

611:13x 47

247:13x 19

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

13 = 13

Therefore, the value for common factors is 13.

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 = 108720757717/(1x13)

LCM = 108720757717/13

LCM = 8363135209

Thus, we can understand that the LCM of 829,869,611,247 is 8363135209.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 829, 869, 611, 247

1. What is the LCM of 829, 869, 611, 247?

Answer: LCM of 829, 869, 611, 247 is 8363135209.

2. How to calculate the LCM of 829, 869, 611, 247?

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, 869, 611, 247.

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}.