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LCM of 836, 716, 464, 240, 849

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


Find the LCM of 836, 716, 464, 240, 849 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 836, 716, 464, 240, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,716,464,240,849

Given numbers are 836,716,464,240,849

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

The LCM of 836,716,464,240,849 is 73687698480.

Find LCM of 836,716,464,240,849 with Prime Factorization


2 836, 716, 464, 240, 849
2 418, 358, 232, 120, 849
2 209, 179, 116, 60, 849
2 209, 179, 58, 30, 849
3 209, 179, 29, 15, 849
209, 179, 29, 5, 283

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

2 x 2 x 2 x 2 x 3 x 209 x 179 x 29 x 5 x 283 = 73687698480

Therefore, the lowest common multiple of 836,716,464,240,849 is 73687698480.

LCM Formula to Find Lowest Common Multiple of 836,716,464,240,849

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.

836 x 716 x 464 x 240 x 849 = 56592152432640

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

716 : 1, 2, 4, 179, 358, 716

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,716,464,240,849, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

716:2x 2x 179

464:2x 2x 2x 2x 29

240:2x 2x 2x 2x 3x 5

849:3x 283

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 2x 2x 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 56592152432640/(1x768)

LCM = 56592152432640/768

LCM = 73687698480

Thus, we can understand that the LCM of 836,716,464,240,849 is 73687698480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 716, 464, 240, 849

1. What is the LCM of 836, 716, 464, 240, 849?

Answer: LCM of 836, 716, 464, 240, 849 is 73687698480.

2. How to calculate the LCM of 836, 716, 464, 240, 849?

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 836, 716, 464, 240, 849.

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}.