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LCM of 666, 915, 715, 319, 690

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


Find the LCM of 666, 915, 715, 319, 690 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 666, 915, 715, 319, 690. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 666,915,715,319,690

Given numbers are 666,915,715,319,690

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

The LCM of 666,915,715,319,690 is 19374742530.

Find LCM of 666,915,715,319,690 with Prime Factorization


2 666, 915, 715, 319, 690
3 333, 915, 715, 319, 345
5 111, 305, 715, 319, 115
11 111, 61, 143, 319, 23
111, 61, 13, 29, 23

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

2 x 3 x 5 x 11 x 111 x 61 x 13 x 29 x 23 = 19374742530

Therefore, the lowest common multiple of 666,915,715,319,690 is 19374742530.

LCM Formula to Find Lowest Common Multiple of 666,915,715,319,690

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.

666 x 915 x 715 x 319 x 690 = 95904975523500

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.

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

915 : 1, 3, 5, 15, 61, 183, 305, 915

715 : 1, 5, 11, 13, 55, 65, 143, 715

319 : 1, 11, 29, 319

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,915,715,319,690, is 1.

Now, the common factors can be found like this.

666:2x 3x 3x 37

915:3x 5x 61

715:5x 11x 13

319:11x 29

690:2x 3x 5x 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 3x 3x 5x 5x 11 = 4950

Therefore, the value for common factors is 4950.

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 = 95904975523500/(1x4950)

LCM = 95904975523500/4950

LCM = 19374742530

Thus, we can understand that the LCM of 666,915,715,319,690 is 19374742530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 666, 915, 715, 319, 690

1. What is the LCM of 666, 915, 715, 319, 690?

Answer: LCM of 666, 915, 715, 319, 690 is 19374742530.

2. How to calculate the LCM of 666, 915, 715, 319, 690?

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 666, 915, 715, 319, 690.

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}.