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LCM of 425, 589, 490, 264

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


Find the LCM of 425, 589, 490, 264 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 425, 589, 490, 264. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 425,589,490,264

Given numbers are 425,589,490,264

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

The LCM of 425,589,490,264 is 3238204200.

Find LCM of 425,589,490,264 with Prime Factorization


2 425, 589, 490, 264
5 425, 589, 245, 132
85, 589, 49, 132

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

2 x 5 x 85 x 589 x 49 x 132 = 3238204200

Therefore, the lowest common multiple of 425,589,490,264 is 3238204200.

LCM Formula to Find Lowest Common Multiple of 425,589,490,264

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.

425 x 589 x 490 x 264 = 32382042000

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.

425 : 1, 5, 17, 25, 85, 425

589 : 1, 19, 31, 589

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,589,490,264, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

589:19x 31

490:2x 5x 7x 7

264:2x 2x 2x 3x 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 5 = 10

Therefore, the value for common factors is 10.

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 = 32382042000/(1x10)

LCM = 32382042000/10

LCM = 3238204200

Thus, we can understand that the LCM of 425,589,490,264 is 3238204200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 425, 589, 490, 264

1. What is the LCM of 425, 589, 490, 264?

Answer: LCM of 425, 589, 490, 264 is 3238204200.

2. How to calculate the LCM of 425, 589, 490, 264?

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 425, 589, 490, 264.

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}.