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LCM of 560, 435, 167, 215, 215

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


Find the LCM of 560, 435, 167, 215, 215 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 560, 435, 167, 215, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,435,167,215,215

Given numbers are 560,435,167,215,215

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

The LCM of 560,435,167,215,215 is 349858320.

Find LCM of 560,435,167,215,215 with Prime Factorization


5 560, 435, 167, 215, 215
43 112, 87, 167, 43, 43
112, 87, 167, 1, 1

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

5 x 43 x 112 x 87 x 167 x 1 x 1 = 349858320

Therefore, the lowest common multiple of 560,435,167,215,215 is 349858320.

LCM Formula to Find Lowest Common Multiple of 560,435,167,215,215

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.

560 x 435 x 167 x 215 x 215 = 1880488470000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

435 : 1, 3, 5, 15, 29, 87, 145, 435

167 : 1, 167

215 : 1, 5, 43, 215

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,435,167,215,215, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

435:3x 5x 29

167:167

215:5x 43

215:5x 43

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

5x 5x 5x 43 = 5375

Therefore, the value for common factors is 5375.

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 = 1880488470000/(1x5375)

LCM = 1880488470000/5375

LCM = 349858320

Thus, we can understand that the LCM of 560,435,167,215,215 is 349858320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 435, 167, 215, 215

1. What is the LCM of 560, 435, 167, 215, 215?

Answer: LCM of 560, 435, 167, 215, 215 is 349858320.

2. How to calculate the LCM of 560, 435, 167, 215, 215?

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 560, 435, 167, 215, 215.

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}.