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LCM of 649, 386, 814, 340, 965

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


Find the LCM of 649, 386, 814, 340, 965 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 649, 386, 814, 340, 965. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,386,814,340,965

Given numbers are 649,386,814,340,965

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

The LCM of 649,386,814,340,965 is 1575733060.

Find LCM of 649,386,814,340,965 with Prime Factorization


2 649, 386, 814, 340, 965
5 649, 193, 407, 170, 965
11 649, 193, 407, 34, 193
193 59, 193, 37, 34, 193
59, 1, 37, 34, 1

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

2 x 5 x 11 x 193 x 59 x 1 x 37 x 34 x 1 = 1575733060

Therefore, the lowest common multiple of 649,386,814,340,965 is 1575733060.

LCM Formula to Find Lowest Common Multiple of 649,386,814,340,965

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.

649 x 386 x 814 x 340 x 965 = 66905625727600

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.

649 : 1, 11, 59, 649

386 : 1, 2, 193, 386

814 : 1, 2, 11, 22, 37, 74, 407, 814

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,386,814,340,965, is 1.

Now, the common factors can be found like this.

649:11x 59

386:2x 193

814:2x 11x 37

340:2x 2x 5x 17

965:5x 193

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 5x 11x 193 = 42460

Therefore, the value for common factors is 42460.

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 = 66905625727600/(1x42460)

LCM = 66905625727600/42460

LCM = 1575733060

Thus, we can understand that the LCM of 649,386,814,340,965 is 1575733060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 386, 814, 340, 965

1. What is the LCM of 649, 386, 814, 340, 965?

Answer: LCM of 649, 386, 814, 340, 965 is 1575733060.

2. How to calculate the LCM of 649, 386, 814, 340, 965?

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 649, 386, 814, 340, 965.

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}.