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LCM of 525, 478, 478, 786

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


Find the LCM of 525, 478, 478, 786 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 525, 478, 478, 786. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 525,478,478,786

Given numbers are 525,478,478,786

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

The LCM of 525,478,478,786 is 32874450.

Find LCM of 525,478,478,786 with Prime Factorization


2 525, 478, 478, 786
3 525, 239, 239, 393
239 175, 239, 239, 131
175, 1, 1, 131

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

2 x 3 x 239 x 175 x 1 x 1 x 131 = 32874450

Therefore, the lowest common multiple of 525,478,478,786 is 32874450.

LCM Formula to Find Lowest Common Multiple of 525,478,478,786

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.

525 x 478 x 478 x 786 = 94283922600

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.

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

478 : 1, 2, 239, 478

478 : 1, 2, 239, 478

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,478,478,786, is 1.

Now, the common factors can be found like this.

525:3x 5x 5x 7

478:2x 239

478:2x 239

786:2x 3x 131

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 239 = 2868

Therefore, the value for common factors is 2868.

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 = 94283922600/(1x2868)

LCM = 94283922600/2868

LCM = 32874450

Thus, we can understand that the LCM of 525,478,478,786 is 32874450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 525, 478, 478, 786

1. What is the LCM of 525, 478, 478, 786?

Answer: LCM of 525, 478, 478, 786 is 32874450.

2. How to calculate the LCM of 525, 478, 478, 786?

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 525, 478, 478, 786.

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}.