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LCM of 766, 990, 600, 310

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


Find the LCM of 766, 990, 600, 310 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, 990, 600, 310. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 766,990,600,310

Given numbers are 766,990,600,310

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

The LCM of 766,990,600,310 is 235085400.

Find LCM of 766,990,600,310 with Prime Factorization


2 766, 990, 600, 310
3 383, 495, 300, 155
5 383, 165, 100, 155
383, 33, 20, 31

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

2 x 3 x 5 x 383 x 33 x 20 x 31 = 235085400

Therefore, the lowest common multiple of 766,990,600,310 is 235085400.

LCM Formula to Find Lowest Common Multiple of 766,990,600,310

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 990 x 600 x 310 = 141051240000

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

310 : 1, 2, 5, 10, 31, 62, 155, 310

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,990,600,310, is 2.

Now, the common factors can be found like this.

766:2x 383

990:2x 3x 3x 5x 11

600:2x 2x 2x 3x 5x 5

310:2x 5x 31

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 141051240000/(2x300)

LCM = 141051240000/600

LCM = 235085400

Thus, we can understand that the LCM of 766,990,600,310 is 235085400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 766, 990, 600, 310

1. What is the LCM of 766, 990, 600, 310?

Answer: LCM of 766, 990, 600, 310 is 235085400.

2. How to calculate the LCM of 766, 990, 600, 310?

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, 990, 600, 310.

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}.