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LCM of 776, 566, 674, 525

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


Find the LCM of 776, 566, 674, 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 776, 566, 674, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 776,566,674,525

Given numbers are 776,566,674,525

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

The LCM of 776,566,674,525 is 38854145400.

Find LCM of 776,566,674,525 with Prime Factorization


2 776, 566, 674, 525
388, 283, 337, 525

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

2 x 388 x 283 x 337 x 525 = 38854145400

Therefore, the lowest common multiple of 776,566,674,525 is 38854145400.

LCM Formula to Find Lowest Common Multiple of 776,566,674,525

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.

776 x 566 x 674 x 525 = 155416581600

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.

776 : 1, 2, 4, 8, 97, 194, 388, 776

566 : 1, 2, 283, 566

674 : 1, 2, 337, 674

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 776,566,674,525, is 1.

Now, the common factors can be found like this.

776:2x 2x 2x 97

566:2x 283

674:2x 337

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 2 = 4

Therefore, the value for common factors is 4.

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 = 155416581600/(1x4)

LCM = 155416581600/4

LCM = 38854145400

Thus, we can understand that the LCM of 776,566,674,525 is 38854145400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 776, 566, 674, 525

1. What is the LCM of 776, 566, 674, 525?

Answer: LCM of 776, 566, 674, 525 is 38854145400.

2. How to calculate the LCM of 776, 566, 674, 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 776, 566, 674, 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}.