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LCM of 977, 583, 415, 429, 289

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


Find the LCM of 977, 583, 415, 429, 289 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 977, 583, 415, 429, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,583,415,429,289

Given numbers are 977,583,415,429,289

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

The LCM of 977,583,415,429,289 is 2664241966815.

Find LCM of 977,583,415,429,289 with Prime Factorization


11 977, 583, 415, 429, 289
977, 53, 415, 39, 289

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

11 x 977 x 53 x 415 x 39 x 289 = 2664241966815

Therefore, the lowest common multiple of 977,583,415,429,289 is 2664241966815.

LCM Formula to Find Lowest Common Multiple of 977,583,415,429,289

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.

977 x 583 x 415 x 429 x 289 = 29306661634965

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.

977 : 1, 977

583 : 1, 11, 53, 583

415 : 1, 5, 83, 415

429 : 1, 3, 11, 13, 33, 39, 143, 429

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,583,415,429,289, is 1.

Now, the common factors can be found like this.

977:977

583:11x 53

415:5x 83

429:3x 11x 13

289:17x 17

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

11 = 11

Therefore, the value for common factors is 11.

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 = 29306661634965/(1x11)

LCM = 29306661634965/11

LCM = 2664241966815

Thus, we can understand that the LCM of 977,583,415,429,289 is 2664241966815.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 583, 415, 429, 289

1. What is the LCM of 977, 583, 415, 429, 289?

Answer: LCM of 977, 583, 415, 429, 289 is 2664241966815.

2. How to calculate the LCM of 977, 583, 415, 429, 289?

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 977, 583, 415, 429, 289.

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}.