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LCM of 708, 226, 814, 394, 178

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


Find the LCM of 708, 226, 814, 394, 178 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 708, 226, 814, 394, 178. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,226,814,394,178

Given numbers are 708,226,814,394,178

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

The LCM of 708,226,814,394,178 is 570903023724.

Find LCM of 708,226,814,394,178 with Prime Factorization


2 708, 226, 814, 394, 178
354, 113, 407, 197, 89

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

2 x 354 x 113 x 407 x 197 x 89 = 570903023724

Therefore, the lowest common multiple of 708,226,814,394,178 is 570903023724.

LCM Formula to Find Lowest Common Multiple of 708,226,814,394,178

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.

708 x 226 x 814 x 394 x 178 = 9134448379584

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

226 : 1, 2, 113, 226

814 : 1, 2, 11, 22, 37, 74, 407, 814

394 : 1, 2, 197, 394

178 : 1, 2, 89, 178

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,226,814,394,178, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

226:2x 113

814:2x 11x 37

394:2x 197

178:2x 89

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9134448379584/(2x8)

LCM = 9134448379584/16

LCM = 570903023724

Thus, we can understand that the LCM of 708,226,814,394,178 is 570903023724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 226, 814, 394, 178

1. What is the LCM of 708, 226, 814, 394, 178?

Answer: LCM of 708, 226, 814, 394, 178 is 570903023724.

2. How to calculate the LCM of 708, 226, 814, 394, 178?

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 708, 226, 814, 394, 178.

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}.