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LCM of 102, 525, 323, 428

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


Find the LCM of 102, 525, 323, 428 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 102, 525, 323, 428. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,525,323,428

Given numbers are 102,525,323,428

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

The LCM of 102,525,323,428 is 72578100.

Find LCM of 102,525,323,428 with Prime Factorization


2 102, 525, 323, 428
3 51, 525, 323, 214
17 17, 175, 323, 214
1, 175, 19, 214

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

2 x 3 x 17 x 1 x 175 x 19 x 214 = 72578100

Therefore, the lowest common multiple of 102,525,323,428 is 72578100.

LCM Formula to Find Lowest Common Multiple of 102,525,323,428

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.

102 x 525 x 323 x 428 = 7402966200

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

323 : 1, 17, 19, 323

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,525,323,428, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

525:3x 5x 5x 7

323:17x 19

428:2x 2x 107

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 7402966200/(1x102)

LCM = 7402966200/102

LCM = 72578100

Thus, we can understand that the LCM of 102,525,323,428 is 72578100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 525, 323, 428

1. What is the LCM of 102, 525, 323, 428?

Answer: LCM of 102, 525, 323, 428 is 72578100.

2. How to calculate the LCM of 102, 525, 323, 428?

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 102, 525, 323, 428.

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}.