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LCM of 325, 573, 884, 592, 148

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


Find the LCM of 325, 573, 884, 592, 148 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 325, 573, 884, 592, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 325,573,884,592,148

Given numbers are 325,573,884,592,148

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

The LCM of 325,573,884,592,148 is 1874168400.

Find LCM of 325,573,884,592,148 with Prime Factorization


2 325, 573, 884, 592, 148
2 325, 573, 442, 296, 74
13 325, 573, 221, 148, 37
37 25, 573, 17, 148, 37
25, 573, 17, 4, 1

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

2 x 2 x 13 x 37 x 25 x 573 x 17 x 4 x 1 = 1874168400

Therefore, the lowest common multiple of 325,573,884,592,148 is 1874168400.

LCM Formula to Find Lowest Common Multiple of 325,573,884,592,148

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.

325 x 573 x 884 x 592 x 148 = 14423600006400

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.

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

573 : 1, 3, 191, 573

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,573,884,592,148, is 1.

Now, the common factors can be found like this.

325:5x 5x 13

573:3x 191

884:2x 2x 13x 17

592:2x 2x 2x 2x 37

148:2x 2x 37

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 2x 2x 13x 37 = 7696

Therefore, the value for common factors is 7696.

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 = 14423600006400/(1x7696)

LCM = 14423600006400/7696

LCM = 1874168400

Thus, we can understand that the LCM of 325,573,884,592,148 is 1874168400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 325, 573, 884, 592, 148

1. What is the LCM of 325, 573, 884, 592, 148?

Answer: LCM of 325, 573, 884, 592, 148 is 1874168400.

2. How to calculate the LCM of 325, 573, 884, 592, 148?

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 325, 573, 884, 592, 148.

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}.