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LCM of 676, 304, 457, 221, 457

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


Find the LCM of 676, 304, 457, 221, 457 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 676, 304, 457, 221, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 676,304,457,221,457

Given numbers are 676,304,457,221,457

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

The LCM of 676,304,457,221,457 is 399140144.

Find LCM of 676,304,457,221,457 with Prime Factorization


2 676, 304, 457, 221, 457
2 338, 152, 457, 221, 457
13 169, 76, 457, 221, 457
457 13, 76, 457, 17, 457
13, 76, 1, 17, 1

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

2 x 2 x 13 x 457 x 13 x 76 x 1 x 17 x 1 = 399140144

Therefore, the lowest common multiple of 676,304,457,221,457 is 399140144.

LCM Formula to Find Lowest Common Multiple of 676,304,457,221,457

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.

676 x 304 x 457 x 221 x 457 = 9485166382016

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

457 : 1, 457

221 : 1, 13, 17, 221

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,304,457,221,457, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

304:2x 2x 2x 2x 19

457:457

221:13x 17

457:457

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 13x 457 = 23764

Therefore, the value for common factors is 23764.

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 = 9485166382016/(1x23764)

LCM = 9485166382016/23764

LCM = 399140144

Thus, we can understand that the LCM of 676,304,457,221,457 is 399140144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 676, 304, 457, 221, 457

1. What is the LCM of 676, 304, 457, 221, 457?

Answer: LCM of 676, 304, 457, 221, 457 is 399140144.

2. How to calculate the LCM of 676, 304, 457, 221, 457?

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 676, 304, 457, 221, 457.

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}.