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LCM of 369, 351, 779, 316

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


Find the LCM of 369, 351, 779, 316 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 369, 351, 779, 316. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 369,351,779,316

Given numbers are 369,351,779,316

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

The LCM of 369,351,779,316 is 86403564.

Find LCM of 369,351,779,316 with Prime Factorization


3 369, 351, 779, 316
3 123, 117, 779, 316
41 41, 39, 779, 316
1, 39, 19, 316

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

3 x 3 x 41 x 1 x 39 x 19 x 316 = 86403564

Therefore, the lowest common multiple of 369,351,779,316 is 86403564.

LCM Formula to Find Lowest Common Multiple of 369,351,779,316

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.

369 x 351 x 779 x 316 = 31882915116

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.

369 : 1, 3, 9, 41, 123, 369

351 : 1, 3, 9, 13, 27, 39, 117, 351

779 : 1, 19, 41, 779

316 : 1, 2, 4, 79, 158, 316

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,351,779,316, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

351:3x 3x 3x 13

779:19x 41

316:2x 2x 79

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

3x 3x 41 = 369

Therefore, the value for common factors is 369.

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 = 31882915116/(1x369)

LCM = 31882915116/369

LCM = 86403564

Thus, we can understand that the LCM of 369,351,779,316 is 86403564.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 369, 351, 779, 316

1. What is the LCM of 369, 351, 779, 316?

Answer: LCM of 369, 351, 779, 316 is 86403564.

2. How to calculate the LCM of 369, 351, 779, 316?

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 369, 351, 779, 316.

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}.