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LCM of 626, 604, 315, 493, 121

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


Find the LCM of 626, 604, 315, 493, 121 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 626, 604, 315, 493, 121. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,604,315,493,121

Given numbers are 626,604,315,493,121

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

The LCM of 626,604,315,493,121 is 3552418471140.

Find LCM of 626,604,315,493,121 with Prime Factorization


2 626, 604, 315, 493, 121
313, 302, 315, 493, 121

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

2 x 313 x 302 x 315 x 493 x 121 = 3552418471140

Therefore, the lowest common multiple of 626,604,315,493,121 is 3552418471140.

LCM Formula to Find Lowest Common Multiple of 626,604,315,493,121

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.

626 x 604 x 315 x 493 x 121 = 7104836942280

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.

626 : 1, 2, 313, 626

604 : 1, 2, 4, 151, 302, 604

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

493 : 1, 17, 29, 493

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,604,315,493,121, is 1.

Now, the common factors can be found like this.

626:2x 313

604:2x 2x 151

315:3x 3x 5x 7

493:17x 29

121:11x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7104836942280/(1x2)

LCM = 7104836942280/2

LCM = 3552418471140

Thus, we can understand that the LCM of 626,604,315,493,121 is 3552418471140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 604, 315, 493, 121

1. What is the LCM of 626, 604, 315, 493, 121?

Answer: LCM of 626, 604, 315, 493, 121 is 3552418471140.

2. How to calculate the LCM of 626, 604, 315, 493, 121?

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 626, 604, 315, 493, 121.

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}.