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LCM of 807, 977, 497, 772, 382

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


Find the LCM of 807, 977, 497, 772, 382 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 807, 977, 497, 772, 382. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,977,497,772,382

Given numbers are 807,977,497,772,382

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

The LCM of 807,977,497,772,382 is 57779682991716.

Find LCM of 807,977,497,772,382 with Prime Factorization


2 807, 977, 497, 772, 382
807, 977, 497, 386, 191

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

2 x 807 x 977 x 497 x 386 x 191 = 57779682991716

Therefore, the lowest common multiple of 807,977,497,772,382 is 57779682991716.

LCM Formula to Find Lowest Common Multiple of 807,977,497,772,382

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.

807 x 977 x 497 x 772 x 382 = 115559365983432

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.

807 : 1, 3, 269, 807

977 : 1, 977

497 : 1, 7, 71, 497

772 : 1, 2, 4, 193, 386, 772

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,977,497,772,382, is 1.

Now, the common factors can be found like this.

807:3x 269

977:977

497:7x 71

772:2x 2x 193

382:2x 191

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

2 = 2

Therefore, the value for common factors is 2.

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 = 115559365983432/(1x2)

LCM = 115559365983432/2

LCM = 57779682991716

Thus, we can understand that the LCM of 807,977,497,772,382 is 57779682991716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 977, 497, 772, 382

1. What is the LCM of 807, 977, 497, 772, 382?

Answer: LCM of 807, 977, 497, 772, 382 is 57779682991716.

2. How to calculate the LCM of 807, 977, 497, 772, 382?

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 807, 977, 497, 772, 382.

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}.