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LCM of 681, 957, 484, 784, 325

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


Find the LCM of 681, 957, 484, 784, 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 681, 957, 484, 784, 325. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,957,484,784,325

Given numbers are 681,957,484,784,325

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

The LCM of 681,957,484,784,325 is 608877469200.

Find LCM of 681,957,484,784,325 with Prime Factorization


2 681, 957, 484, 784, 325
2 681, 957, 242, 392, 325
3 681, 957, 121, 196, 325
11 227, 319, 121, 196, 325
227, 29, 11, 196, 325

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

2 x 2 x 3 x 11 x 227 x 29 x 11 x 196 x 325 = 608877469200

Therefore, the lowest common multiple of 681,957,484,784,325 is 608877469200.

LCM Formula to Find Lowest Common Multiple of 681,957,484,784,325

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.

681 x 957 x 484 x 784 x 325 = 80371825934400

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.

681 : 1, 3, 227, 681

957 : 1, 3, 11, 29, 33, 87, 319, 957

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 681,957,484,784,325, is 1.

Now, the common factors can be found like this.

681:3x 227

957:3x 11x 29

484:2x 2x 11x 11

784:2x 2x 2x 2x 7x 7

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.

2x 2x 3x 11 = 132

Therefore, the value for common factors is 132.

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 = 80371825934400/(1x132)

LCM = 80371825934400/132

LCM = 608877469200

Thus, we can understand that the LCM of 681,957,484,784,325 is 608877469200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 957, 484, 784, 325

1. What is the LCM of 681, 957, 484, 784, 325?

Answer: LCM of 681, 957, 484, 784, 325 is 608877469200.

2. How to calculate the LCM of 681, 957, 484, 784, 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 681, 957, 484, 784, 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}.