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LCM of 625, 962, 533, 486

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


Find the LCM of 625, 962, 533, 486 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 625, 962, 533, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,962,533,486

Given numbers are 625,962,533,486

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

The LCM of 625,962,533,486 is 5990253750.

Find LCM of 625,962,533,486 with Prime Factorization


2 625, 962, 533, 486
13 625, 481, 533, 243
625, 37, 41, 243

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

2 x 13 x 625 x 37 x 41 x 243 = 5990253750

Therefore, the lowest common multiple of 625,962,533,486 is 5990253750.

LCM Formula to Find Lowest Common Multiple of 625,962,533,486

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.

625 x 962 x 533 x 486 = 155746597500

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.

625 : 1, 5, 25, 125, 625

962 : 1, 2, 13, 26, 37, 74, 481, 962

533 : 1, 13, 41, 533

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,962,533,486, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

962:2x 13x 37

533:13x 41

486:2x 3x 3x 3x 3x 3

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 155746597500/(1x26)

LCM = 155746597500/26

LCM = 5990253750

Thus, we can understand that the LCM of 625,962,533,486 is 5990253750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 962, 533, 486

1. What is the LCM of 625, 962, 533, 486?

Answer: LCM of 625, 962, 533, 486 is 5990253750.

2. How to calculate the LCM of 625, 962, 533, 486?

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 625, 962, 533, 486.

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}.