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LCM of 345, 294, 717, 253, 484

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


Find the LCM of 345, 294, 717, 253, 484 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 345, 294, 717, 253, 484. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,294,717,253,484

Given numbers are 345,294,717,253,484

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

The LCM of 345,294,717,253,484 is 1955502780.

Find LCM of 345,294,717,253,484 with Prime Factorization


2 345, 294, 717, 253, 484
3 345, 147, 717, 253, 242
11 115, 49, 239, 253, 242
23 115, 49, 239, 23, 22
5, 49, 239, 1, 22

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

2 x 3 x 11 x 23 x 5 x 49 x 239 x 1 x 22 = 1955502780

Therefore, the lowest common multiple of 345,294,717,253,484 is 1955502780.

LCM Formula to Find Lowest Common Multiple of 345,294,717,253,484

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.

345 x 294 x 717 x 253 x 484 = 8905359660120

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

717 : 1, 3, 239, 717

253 : 1, 11, 23, 253

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,294,717,253,484, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

294:2x 3x 7x 7

717:3x 239

253:11x 23

484:2x 2x 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.

2x 3x 3x 11x 23 = 4554

Therefore, the value for common factors is 4554.

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 = 8905359660120/(1x4554)

LCM = 8905359660120/4554

LCM = 1955502780

Thus, we can understand that the LCM of 345,294,717,253,484 is 1955502780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 294, 717, 253, 484

1. What is the LCM of 345, 294, 717, 253, 484?

Answer: LCM of 345, 294, 717, 253, 484 is 1955502780.

2. How to calculate the LCM of 345, 294, 717, 253, 484?

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 345, 294, 717, 253, 484.

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}.