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LCM of 669, 302, 343, 851, 299

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


Find the LCM of 669, 302, 343, 851, 299 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, 302, 343, 851, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 669,302,343,851,299

Given numbers are 669,302,343,851,299

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

The LCM of 669,302,343,851,299 is 766655213142.

Find LCM of 669,302,343,851,299 with Prime Factorization


23 669, 302, 343, 851, 299
669, 302, 343, 37, 13

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

23 x 669 x 302 x 343 x 37 x 13 = 766655213142

Therefore, the lowest common multiple of 669,302,343,851,299 is 766655213142.

LCM Formula to Find Lowest Common Multiple of 669,302,343,851,299

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 302 x 343 x 851 x 299 = 17633069902266

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

302 : 1, 2, 151, 302

343 : 1, 7, 49, 343

851 : 1, 23, 37, 851

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,302,343,851,299, is 1.

Now, the common factors can be found like this.

669:3x 223

302:2x 151

343:7x 7x 7

851:23x 37

299:13x 23

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

23 = 23

Therefore, the value for common factors is 23.

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 = 17633069902266/(1x23)

LCM = 17633069902266/23

LCM = 766655213142

Thus, we can understand that the LCM of 669,302,343,851,299 is 766655213142.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 669, 302, 343, 851, 299

1. What is the LCM of 669, 302, 343, 851, 299?

Answer: LCM of 669, 302, 343, 851, 299 is 766655213142.

2. How to calculate the LCM of 669, 302, 343, 851, 299?

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, 302, 343, 851, 299.

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}.