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LCM of 531, 507, 893, 392

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


Find the LCM of 531, 507, 893, 392 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, 507, 893, 392. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,507,893,392

Given numbers are 531,507,893,392

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

The LCM of 531,507,893,392 is 31413675384.

Find LCM of 531,507,893,392 with Prime Factorization


3 531, 507, 893, 392
177, 169, 893, 392

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

3 x 177 x 169 x 893 x 392 = 31413675384

Therefore, the lowest common multiple of 531,507,893,392 is 31413675384.

LCM Formula to Find Lowest Common Multiple of 531,507,893,392

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 507 x 893 x 392 = 94241026152

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

507 : 1, 3, 13, 39, 169, 507

893 : 1, 19, 47, 893

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,507,893,392, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

507:3x 13x 13

893:19x 47

392:2x 2x 2x 7x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 94241026152/(1x3)

LCM = 94241026152/3

LCM = 31413675384

Thus, we can understand that the LCM of 531,507,893,392 is 31413675384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 531, 507, 893, 392

1. What is the LCM of 531, 507, 893, 392?

Answer: LCM of 531, 507, 893, 392 is 31413675384.

2. How to calculate the LCM of 531, 507, 893, 392?

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, 507, 893, 392.

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}.