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LCM of 325, 563, 452, 876, 924

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


Find the LCM of 325, 563, 452, 876, 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 325, 563, 452, 876, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 325,563,452,876,924

Given numbers are 325,563,452,876,924

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

The LCM of 325,563,452,876,924 is 1394649356100.

Find LCM of 325,563,452,876,924 with Prime Factorization


2 325, 563, 452, 876, 924
2 325, 563, 226, 438, 462
3 325, 563, 113, 219, 231
325, 563, 113, 73, 77

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

2 x 2 x 3 x 325 x 563 x 113 x 73 x 77 = 1394649356100

Therefore, the lowest common multiple of 325,563,452,876,924 is 1394649356100.

LCM Formula to Find Lowest Common Multiple of 325,563,452,876,924

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.

325 x 563 x 452 x 876 x 924 = 66943169092800

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.

325 : 1, 5, 13, 25, 65, 325

563 : 1, 563

452 : 1, 2, 4, 113, 226, 452

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

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 325,563,452,876,924, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

563:563

452:2x 2x 113

876:2x 2x 3x 73

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.

2x 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 66943169092800/(1x48)

LCM = 66943169092800/48

LCM = 1394649356100

Thus, we can understand that the LCM of 325,563,452,876,924 is 1394649356100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 325, 563, 452, 876, 924

1. What is the LCM of 325, 563, 452, 876, 924?

Answer: LCM of 325, 563, 452, 876, 924 is 1394649356100.

2. How to calculate the LCM of 325, 563, 452, 876, 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 325, 563, 452, 876, 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}.