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LCM of 694, 793, 247, 113, 346

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


Find the LCM of 694, 793, 247, 113, 346 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 694, 793, 247, 113, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,793,247,113,346

Given numbers are 694,793,247,113,346

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

The LCM of 694,793,247,113,346 is 204414079402.

Find LCM of 694,793,247,113,346 with Prime Factorization


2 694, 793, 247, 113, 346
13 347, 793, 247, 113, 173
347, 61, 19, 113, 173

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

2 x 13 x 347 x 61 x 19 x 113 x 173 = 204414079402

Therefore, the lowest common multiple of 694,793,247,113,346 is 204414079402.

LCM Formula to Find Lowest Common Multiple of 694,793,247,113,346

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.

694 x 793 x 247 x 113 x 346 = 5314766064452

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.

694 : 1, 2, 347, 694

793 : 1, 13, 61, 793

247 : 1, 13, 19, 247

113 : 1, 113

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,793,247,113,346, is 1.

Now, the common factors can be found like this.

694:2x 347

793:13x 61

247:13x 19

113:113

346:2x 173

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 5314766064452/(1x26)

LCM = 5314766064452/26

LCM = 204414079402

Thus, we can understand that the LCM of 694,793,247,113,346 is 204414079402.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 793, 247, 113, 346

1. What is the LCM of 694, 793, 247, 113, 346?

Answer: LCM of 694, 793, 247, 113, 346 is 204414079402.

2. How to calculate the LCM of 694, 793, 247, 113, 346?

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 694, 793, 247, 113, 346.

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}.