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LCM of 884, 731, 655, 272, 763

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


Find the LCM of 884, 731, 655, 272, 763 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 884, 731, 655, 272, 763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,731,655,272,763

Given numbers are 884,731,655,272,763

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

The LCM of 884,731,655,272,763 is 75988268720.

Find LCM of 884,731,655,272,763 with Prime Factorization


2 884, 731, 655, 272, 763
2 442, 731, 655, 136, 763
17 221, 731, 655, 68, 763
13, 43, 655, 4, 763

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

2 x 2 x 17 x 13 x 43 x 655 x 4 x 763 = 75988268720

Therefore, the lowest common multiple of 884,731,655,272,763 is 75988268720.

LCM Formula to Find Lowest Common Multiple of 884,731,655,272,763

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.

884 x 731 x 655 x 272 x 763 = 87842438640320

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.

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

731 : 1, 17, 43, 731

655 : 1, 5, 131, 655

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,731,655,272,763, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

731:17x 43

655:5x 131

272:2x 2x 2x 2x 17

763:7x 109

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 17x 17 = 1156

Therefore, the value for common factors is 1156.

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 = 87842438640320/(1x1156)

LCM = 87842438640320/1156

LCM = 75988268720

Thus, we can understand that the LCM of 884,731,655,272,763 is 75988268720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 731, 655, 272, 763

1. What is the LCM of 884, 731, 655, 272, 763?

Answer: LCM of 884, 731, 655, 272, 763 is 75988268720.

2. How to calculate the LCM of 884, 731, 655, 272, 763?

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 884, 731, 655, 272, 763.

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}.