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LCM of 523, 763, 299, 444, 325

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


Find the LCM of 523, 763, 299, 444, 325 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 523, 763, 299, 444, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,763,299,444,325

Given numbers are 523,763,299,444,325

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

The LCM of 523,763,299,444,325 is 1324403726100.

Find LCM of 523,763,299,444,325 with Prime Factorization


13 523, 763, 299, 444, 325
523, 763, 23, 444, 25

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

13 x 523 x 763 x 23 x 444 x 25 = 1324403726100

Therefore, the lowest common multiple of 523,763,299,444,325 is 1324403726100.

LCM Formula to Find Lowest Common Multiple of 523,763,299,444,325

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.

523 x 763 x 299 x 444 x 325 = 17217248439300

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.

523 : 1, 523

763 : 1, 7, 109, 763

299 : 1, 13, 23, 299

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,763,299,444,325, is 1.

Now, the common factors can be found like this.

523:523

763:7x 109

299:13x 23

444:2x 2x 3x 37

325:5x 5x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 17217248439300/(1x13)

LCM = 17217248439300/13

LCM = 1324403726100

Thus, we can understand that the LCM of 523,763,299,444,325 is 1324403726100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 763, 299, 444, 325

1. What is the LCM of 523, 763, 299, 444, 325?

Answer: LCM of 523, 763, 299, 444, 325 is 1324403726100.

2. How to calculate the LCM of 523, 763, 299, 444, 325?

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 523, 763, 299, 444, 325.

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}.