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LCM of 893, 513, 492, 525

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


Find the LCM of 893, 513, 492, 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 893, 513, 492, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 893,513,492,525

Given numbers are 893,513,492,525

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

The LCM of 893,513,492,525 is 691985700.

Find LCM of 893,513,492,525 with Prime Factorization


3 893, 513, 492, 525
19 893, 171, 164, 175
47, 9, 164, 175

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

3 x 19 x 47 x 9 x 164 x 175 = 691985700

Therefore, the lowest common multiple of 893,513,492,525 is 691985700.

LCM Formula to Find Lowest Common Multiple of 893,513,492,525

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.

893 x 513 x 492 x 525 = 118329554700

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.

893 : 1, 19, 47, 893

513 : 1, 3, 9, 19, 27, 57, 171, 513

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 893,513,492,525, is 1.

Now, the common factors can be found like this.

893:19x 47

513:3x 3x 3x 19

492:2x 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.

3x 3x 19 = 171

Therefore, the value for common factors is 171.

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 = 118329554700/(1x171)

LCM = 118329554700/171

LCM = 691985700

Thus, we can understand that the LCM of 893,513,492,525 is 691985700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 893, 513, 492, 525

1. What is the LCM of 893, 513, 492, 525?

Answer: LCM of 893, 513, 492, 525 is 691985700.

2. How to calculate the LCM of 893, 513, 492, 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 893, 513, 492, 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}.