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LCM of 782, 422, 325, 571

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


Find the LCM of 782, 422, 325, 571 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 782, 422, 325, 571. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,422,325,571

Given numbers are 782,422,325,571

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

The LCM of 782,422,325,571 is 30620246150.

Find LCM of 782,422,325,571 with Prime Factorization


2 782, 422, 325, 571
391, 211, 325, 571

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

2 x 391 x 211 x 325 x 571 = 30620246150

Therefore, the lowest common multiple of 782,422,325,571 is 30620246150.

LCM Formula to Find Lowest Common Multiple of 782,422,325,571

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.

782 x 422 x 325 x 571 = 61240492300

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

422 : 1, 2, 211, 422

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

571 : 1, 571

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,422,325,571, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

422:2x 211

325:5x 5x 13

571:571

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

2 = 2

Therefore, the value for common factors is 2.

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 = 61240492300/(1x2)

LCM = 61240492300/2

LCM = 30620246150

Thus, we can understand that the LCM of 782,422,325,571 is 30620246150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 782, 422, 325, 571

1. What is the LCM of 782, 422, 325, 571?

Answer: LCM of 782, 422, 325, 571 is 30620246150.

2. How to calculate the LCM of 782, 422, 325, 571?

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 782, 422, 325, 571.

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}.