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LCM of 884, 767, 219, 511

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


Find the LCM of 884, 767, 219, 511 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, 767, 219, 511. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 884,767,219,511

Given numbers are 884,767,219,511

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

The LCM of 884,767,219,511 is 79955148.

Find LCM of 884,767,219,511 with Prime Factorization


13 884, 767, 219, 511
73 68, 59, 219, 511
68, 59, 3, 7

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

13 x 73 x 68 x 59 x 3 x 7 = 79955148

Therefore, the lowest common multiple of 884,767,219,511 is 79955148.

LCM Formula to Find Lowest Common Multiple of 884,767,219,511

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 767 x 219 x 511 = 75877435452

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

767 : 1, 13, 59, 767

219 : 1, 3, 73, 219

511 : 1, 7, 73, 511

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,767,219,511, is 1.

Now, the common factors can be found like this.

884:2x 2x 13x 17

767:13x 59

219:3x 73

511:7x 73

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

13x 73 = 949

Therefore, the value for common factors is 949.

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 = 75877435452/(1x949)

LCM = 75877435452/949

LCM = 79955148

Thus, we can understand that the LCM of 884,767,219,511 is 79955148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 884, 767, 219, 511

1. What is the LCM of 884, 767, 219, 511?

Answer: LCM of 884, 767, 219, 511 is 79955148.

2. How to calculate the LCM of 884, 767, 219, 511?

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, 767, 219, 511.

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}.