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LCM of 928, 248, 881, 984, 525

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


Find the LCM of 928, 248, 881, 984, 525 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 928, 248, 881, 984, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,248,881,984,525

Given numbers are 928,248,881,984,525

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

The LCM of 928,248,881,984,525 is 545542687200.

Find LCM of 928,248,881,984,525 with Prime Factorization


2 928, 248, 881, 984, 525
2 464, 124, 881, 492, 525
2 232, 62, 881, 246, 525
3 116, 31, 881, 123, 525
116, 31, 881, 41, 175

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

2 x 2 x 2 x 3 x 116 x 31 x 881 x 41 x 175 = 545542687200

Therefore, the lowest common multiple of 928,248,881,984,525 is 545542687200.

LCM Formula to Find Lowest Common Multiple of 928,248,881,984,525

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.

928 x 248 x 881 x 984 x 525 = 104744195942400

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

248 : 1, 2, 4, 8, 31, 62, 124, 248

881 : 1, 881

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,248,881,984,525, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

248:2x 2x 2x 31

881:881

984:2x 2x 2x 3x 41

525:3x 5x 5x 7

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 104744195942400/(1x192)

LCM = 104744195942400/192

LCM = 545542687200

Thus, we can understand that the LCM of 928,248,881,984,525 is 545542687200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 248, 881, 984, 525

1. What is the LCM of 928, 248, 881, 984, 525?

Answer: LCM of 928, 248, 881, 984, 525 is 545542687200.

2. How to calculate the LCM of 928, 248, 881, 984, 525?

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 928, 248, 881, 984, 525.

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}.