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LCM of 669, 283, 551, 299, 689

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


Find the LCM of 669, 283, 551, 299, 689 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 669, 283, 551, 299, 689. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,283,551,299,689

Given numbers are 669,283,551,299,689

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

The LCM of 669,283,551,299,689 is 1653145997919.

Find LCM of 669,283,551,299,689 with Prime Factorization


13 669, 283, 551, 299, 689
669, 283, 551, 23, 53

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

13 x 669 x 283 x 551 x 23 x 53 = 1653145997919

Therefore, the lowest common multiple of 669,283,551,299,689 is 1653145997919.

LCM Formula to Find Lowest Common Multiple of 669,283,551,299,689

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.

669 x 283 x 551 x 299 x 689 = 21490897972947

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.

669 : 1, 3, 223, 669

283 : 1, 283

551 : 1, 19, 29, 551

299 : 1, 13, 23, 299

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,283,551,299,689, is 1.

Now, the common factors can be found like this.

669:3x 223

283:283

551:19x 29

299:13x 23

689:13x 53

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

13 = 13

Therefore, the value for common factors is 13.

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 = 21490897972947/(1x13)

LCM = 21490897972947/13

LCM = 1653145997919

Thus, we can understand that the LCM of 669,283,551,299,689 is 1653145997919.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 283, 551, 299, 689

1. What is the LCM of 669, 283, 551, 299, 689?

Answer: LCM of 669, 283, 551, 299, 689 is 1653145997919.

2. How to calculate the LCM of 669, 283, 551, 299, 689?

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 669, 283, 551, 299, 689.

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}.