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LCM of 427, 793, 888, 716

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


Find the LCM of 427, 793, 888, 716 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 427, 793, 888, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 427,793,888,716

Given numbers are 427,793,888,716

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

The LCM of 427,793,888,716 is 882342552.

Find LCM of 427,793,888,716 with Prime Factorization


2 427, 793, 888, 716
2 427, 793, 444, 358
61 427, 793, 222, 179
7, 13, 222, 179

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

2 x 2 x 61 x 7 x 13 x 222 x 179 = 882342552

Therefore, the lowest common multiple of 427,793,888,716 is 882342552.

LCM Formula to Find Lowest Common Multiple of 427,793,888,716

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.

427 x 793 x 888 x 716 = 215291582688

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.

427 : 1, 7, 61, 427

793 : 1, 13, 61, 793

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,793,888,716, is 1.

Now, the common factors can be found like this.

427:7x 61

793:13x 61

888:2x 2x 2x 3x 37

716:2x 2x 179

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 61 = 244

Therefore, the value for common factors is 244.

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 = 215291582688/(1x244)

LCM = 215291582688/244

LCM = 882342552

Thus, we can understand that the LCM of 427,793,888,716 is 882342552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 427, 793, 888, 716

1. What is the LCM of 427, 793, 888, 716?

Answer: LCM of 427, 793, 888, 716 is 882342552.

2. How to calculate the LCM of 427, 793, 888, 716?

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 427, 793, 888, 716.

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}.