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LCM of 531, 349, 849, 767, 587

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


Find the LCM of 531, 349, 849, 767, 587 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 531, 349, 849, 767, 587. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,349,849,767,587

Given numbers are 531,349,849,767,587

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

The LCM of 531,349,849,767,587 is 400209908787.

Find LCM of 531,349,849,767,587 with Prime Factorization


3 531, 349, 849, 767, 587
59 177, 349, 283, 767, 587
3, 349, 283, 13, 587

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

3 x 59 x 3 x 349 x 283 x 13 x 587 = 400209908787

Therefore, the lowest common multiple of 531,349,849,767,587 is 400209908787.

LCM Formula to Find Lowest Common Multiple of 531,349,849,767,587

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.

531 x 349 x 849 x 767 x 587 = 70837153855299

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.

531 : 1, 3, 9, 59, 177, 531

349 : 1, 349

849 : 1, 3, 283, 849

767 : 1, 13, 59, 767

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,349,849,767,587, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

349:349

849:3x 283

767:13x 59

587:587

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

3x 59 = 177

Therefore, the value for common factors is 177.

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 = 70837153855299/(1x177)

LCM = 70837153855299/177

LCM = 400209908787

Thus, we can understand that the LCM of 531,349,849,767,587 is 400209908787.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 349, 849, 767, 587

1. What is the LCM of 531, 349, 849, 767, 587?

Answer: LCM of 531, 349, 849, 767, 587 is 400209908787.

2. How to calculate the LCM of 531, 349, 849, 767, 587?

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 531, 349, 849, 767, 587.

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}.