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LCM of 772, 996, 158, 286, 352

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


Find the LCM of 772, 996, 158, 286, 352 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 772, 996, 158, 286, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 772,996,158,286,352

Given numbers are 772,996,158,286,352

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

The LCM of 772,996,158,286,352 is 17372797728.

Find LCM of 772,996,158,286,352 with Prime Factorization


2 772, 996, 158, 286, 352
2 386, 498, 79, 143, 176
11 193, 249, 79, 143, 88
193, 249, 79, 13, 8

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

2 x 2 x 11 x 193 x 249 x 79 x 13 x 8 = 17372797728

Therefore, the lowest common multiple of 772,996,158,286,352 is 17372797728.

LCM Formula to Find Lowest Common Multiple of 772,996,158,286,352

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.

772 x 996 x 158 x 286 x 352 = 12230449600512

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.

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

158 : 1, 2, 79, 158

286 : 1, 2, 11, 13, 22, 26, 143, 286

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,996,158,286,352, is 2.

Now, the common factors can be found like this.

772:2x 2x 193

996:2x 2x 3x 83

158:2x 79

286:2x 11x 13

352:2x 2x 2x 2x 2x 11

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 11 = 352

Therefore, the value for common factors is 352.

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 = 12230449600512/(2x352)

LCM = 12230449600512/704

LCM = 17372797728

Thus, we can understand that the LCM of 772,996,158,286,352 is 17372797728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 772, 996, 158, 286, 352

1. What is the LCM of 772, 996, 158, 286, 352?

Answer: LCM of 772, 996, 158, 286, 352 is 17372797728.

2. How to calculate the LCM of 772, 996, 158, 286, 352?

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 772, 996, 158, 286, 352.

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}.