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LCM of 614, 260, 793, 845, 113

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


Find the LCM of 614, 260, 793, 845, 113 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 614, 260, 793, 845, 113. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 614,260,793,845,113

Given numbers are 614,260,793,845,113

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

The LCM of 614,260,793,845,113 is 7152590380.

Find LCM of 614,260,793,845,113 with Prime Factorization


2 614, 260, 793, 845, 113
5 307, 130, 793, 845, 113
13 307, 26, 793, 169, 113
307, 2, 61, 13, 113

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

2 x 5 x 13 x 307 x 2 x 61 x 13 x 113 = 7152590380

Therefore, the lowest common multiple of 614,260,793,845,113 is 7152590380.

LCM Formula to Find Lowest Common Multiple of 614,260,793,845,113

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.

614 x 260 x 793 x 845 x 113 = 12087877742200

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.

614 : 1, 2, 307, 614

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

793 : 1, 13, 61, 793

845 : 1, 5, 13, 65, 169, 845

113 : 1, 113

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,260,793,845,113, is 1.

Now, the common factors can be found like this.

614:2x 307

260:2x 2x 5x 13

793:13x 61

845:5x 13x 13

113:113

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

2x 5x 13x 13 = 1690

Therefore, the value for common factors is 1690.

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 = 12087877742200/(1x1690)

LCM = 12087877742200/1690

LCM = 7152590380

Thus, we can understand that the LCM of 614,260,793,845,113 is 7152590380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 614, 260, 793, 845, 113

1. What is the LCM of 614, 260, 793, 845, 113?

Answer: LCM of 614, 260, 793, 845, 113 is 7152590380.

2. How to calculate the LCM of 614, 260, 793, 845, 113?

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 614, 260, 793, 845, 113.

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}.