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LCM of 693, 363, 704, 295

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


Find the LCM of 693, 363, 704, 295 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 693, 363, 704, 295. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,363,704,295

Given numbers are 693,363,704,295

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

The LCM of 693,363,704,295 is 143922240.

Find LCM of 693,363,704,295 with Prime Factorization


3 693, 363, 704, 295
11 231, 121, 704, 295
21, 11, 64, 295

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

3 x 11 x 21 x 11 x 64 x 295 = 143922240

Therefore, the lowest common multiple of 693,363,704,295 is 143922240.

LCM Formula to Find Lowest Common Multiple of 693,363,704,295

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.

693 x 363 x 704 x 295 = 52243773120

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

363 : 1, 3, 11, 33, 121, 363

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,363,704,295, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

363:3x 11x 11

704:2x 2x 2x 2x 2x 2x 11

295:5x 59

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 52243773120/(1x363)

LCM = 52243773120/363

LCM = 143922240

Thus, we can understand that the LCM of 693,363,704,295 is 143922240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 363, 704, 295

1. What is the LCM of 693, 363, 704, 295?

Answer: LCM of 693, 363, 704, 295 is 143922240.

2. How to calculate the LCM of 693, 363, 704, 295?

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 693, 363, 704, 295.

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}.