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LCM of 217, 531, 649, 465, 924

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


Find the LCM of 217, 531, 649, 465, 924 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 217, 531, 649, 465, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,531,649,465,924

Given numbers are 217,531,649,465,924

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

The LCM of 217,531,649,465,924 is 25349940.

Find LCM of 217,531,649,465,924 with Prime Factorization


3 217, 531, 649, 465, 924
7 217, 177, 649, 155, 308
11 31, 177, 649, 155, 44
31 31, 177, 59, 155, 4
59 1, 177, 59, 5, 4
1, 3, 1, 5, 4

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

3 x 7 x 11 x 31 x 59 x 1 x 3 x 1 x 5 x 4 = 25349940

Therefore, the lowest common multiple of 217,531,649,465,924 is 25349940.

LCM Formula to Find Lowest Common Multiple of 217,531,649,465,924

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.

217 x 531 x 649 x 465 x 924 = 32130972900180

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.

217 : 1, 7, 31, 217

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

649 : 1, 11, 59, 649

465 : 1, 3, 5, 15, 31, 93, 155, 465

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,531,649,465,924, is 1.

Now, the common factors can be found like this.

217:7x 31

531:3x 3x 59

649:11x 59

465:3x 5x 31

924:2x 2x 3x 7x 11

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

3x 3x 7x 11x 31x 59 = 1267497

Therefore, the value for common factors is 1267497.

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 = 32130972900180/(1x1267497)

LCM = 32130972900180/1267497

LCM = 25349940

Thus, we can understand that the LCM of 217,531,649,465,924 is 25349940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 531, 649, 465, 924

1. What is the LCM of 217, 531, 649, 465, 924?

Answer: LCM of 217, 531, 649, 465, 924 is 25349940.

2. How to calculate the LCM of 217, 531, 649, 465, 924?

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 217, 531, 649, 465, 924.

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}.