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LCM of 777, 642, 829, 397, 404

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


Find the LCM of 777, 642, 829, 397, 404 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 777, 642, 829, 397, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 777,642,829,397,404

Given numbers are 777,642,829,397,404

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

The LCM of 777,642,829,397,404 is 11054298785628.

Find LCM of 777,642,829,397,404 with Prime Factorization


2 777, 642, 829, 397, 404
3 777, 321, 829, 397, 202
259, 107, 829, 397, 202

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

2 x 3 x 259 x 107 x 829 x 397 x 202 = 11054298785628

Therefore, the lowest common multiple of 777,642,829,397,404 is 11054298785628.

LCM Formula to Find Lowest Common Multiple of 777,642,829,397,404

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.

777 x 642 x 829 x 397 x 404 = 66325792713768

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.

777 : 1, 3, 7, 21, 37, 111, 259, 777

642 : 1, 2, 3, 6, 107, 214, 321, 642

829 : 1, 829

397 : 1, 397

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,642,829,397,404, is 1.

Now, the common factors can be found like this.

777:3x 7x 37

642:2x 3x 107

829:829

397:397

404:2x 2x 101

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 66325792713768/(1x6)

LCM = 66325792713768/6

LCM = 11054298785628

Thus, we can understand that the LCM of 777,642,829,397,404 is 11054298785628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 777, 642, 829, 397, 404

1. What is the LCM of 777, 642, 829, 397, 404?

Answer: LCM of 777, 642, 829, 397, 404 is 11054298785628.

2. How to calculate the LCM of 777, 642, 829, 397, 404?

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 777, 642, 829, 397, 404.

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}.