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LCM of 766, 166, 682, 660, 630

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


Find the LCM of 766, 166, 682, 660, 630 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 766, 166, 682, 660, 630. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,166,682,660,630

Given numbers are 766,166,682,660,630

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

The LCM of 766,166,682,660,630 is 13658461740.

Find LCM of 766,166,682,660,630 with Prime Factorization


2 766, 166, 682, 660, 630
3 383, 83, 341, 330, 315
5 383, 83, 341, 110, 105
11 383, 83, 341, 22, 21
383, 83, 31, 2, 21

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

2 x 3 x 5 x 11 x 383 x 83 x 31 x 2 x 21 = 13658461740

Therefore, the lowest common multiple of 766,166,682,660,630 is 13658461740.

LCM Formula to Find Lowest Common Multiple of 766,166,682,660,630

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.

766 x 166 x 682 x 660 x 630 = 36058338993600

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.

766 : 1, 2, 383, 766

166 : 1, 2, 83, 166

682 : 1, 2, 11, 22, 31, 62, 341, 682

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,166,682,660,630, is 2.

Now, the common factors can be found like this.

766:2x 383

166:2x 83

682:2x 11x 31

660:2x 2x 3x 5x 11

630:2x 3x 3x 5x 7

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

2x 2x 2x 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 36058338993600/(2x1320)

LCM = 36058338993600/2640

LCM = 13658461740

Thus, we can understand that the LCM of 766,166,682,660,630 is 13658461740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 166, 682, 660, 630

1. What is the LCM of 766, 166, 682, 660, 630?

Answer: LCM of 766, 166, 682, 660, 630 is 13658461740.

2. How to calculate the LCM of 766, 166, 682, 660, 630?

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 766, 166, 682, 660, 630.

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}.