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LCM of 568, 278, 213, 151

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


Find the LCM of 568, 278, 213, 151 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 568, 278, 213, 151. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,278,213,151

Given numbers are 568,278,213,151

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

The LCM of 568,278,213,151 is 35765256.

Find LCM of 568,278,213,151 with Prime Factorization


2 568, 278, 213, 151
71 284, 139, 213, 151
4, 139, 3, 151

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

2 x 71 x 4 x 139 x 3 x 151 = 35765256

Therefore, the lowest common multiple of 568,278,213,151 is 35765256.

LCM Formula to Find Lowest Common Multiple of 568,278,213,151

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.

568 x 278 x 213 x 151 = 5078666352

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

278 : 1, 2, 139, 278

213 : 1, 3, 71, 213

151 : 1, 151

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,278,213,151, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

278:2x 139

213:3x 71

151:151

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 5078666352/(1x142)

LCM = 5078666352/142

LCM = 35765256

Thus, we can understand that the LCM of 568,278,213,151 is 35765256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 278, 213, 151

1. What is the LCM of 568, 278, 213, 151?

Answer: LCM of 568, 278, 213, 151 is 35765256.

2. How to calculate the LCM of 568, 278, 213, 151?

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 568, 278, 213, 151.

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}.