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LCM of 104, 475, 691, 316, 230

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


Find the LCM of 104, 475, 691, 316, 230 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 104, 475, 691, 316, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 104,475,691,316,230

Given numbers are 104,475,691,316,230

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

The LCM of 104,475,691,316,230 is 62024021800.

Find LCM of 104,475,691,316,230 with Prime Factorization


2 104, 475, 691, 316, 230
2 52, 475, 691, 158, 115
5 26, 475, 691, 79, 115
26, 95, 691, 79, 23

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

2 x 2 x 5 x 26 x 95 x 691 x 79 x 23 = 62024021800

Therefore, the lowest common multiple of 104,475,691,316,230 is 62024021800.

LCM Formula to Find Lowest Common Multiple of 104,475,691,316,230

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.

104 x 475 x 691 x 316 x 230 = 2480960872000

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

475 : 1, 5, 19, 25, 95, 475

691 : 1, 691

316 : 1, 2, 4, 79, 158, 316

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,475,691,316,230, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

475:5x 5x 19

691:691

316:2x 2x 79

230:2x 5x 23

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 5 = 40

Therefore, the value for common factors is 40.

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 = 2480960872000/(1x40)

LCM = 2480960872000/40

LCM = 62024021800

Thus, we can understand that the LCM of 104,475,691,316,230 is 62024021800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 104, 475, 691, 316, 230

1. What is the LCM of 104, 475, 691, 316, 230?

Answer: LCM of 104, 475, 691, 316, 230 is 62024021800.

2. How to calculate the LCM of 104, 475, 691, 316, 230?

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 104, 475, 691, 316, 230.

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}.