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LCM of 343, 247, 702, 569, 569

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


Find the LCM of 343, 247, 702, 569, 569 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 343, 247, 702, 569, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,247,702,569,569

Given numbers are 343,247,702,569,569

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

The LCM of 343,247,702,569,569 is 2603137446.

Find LCM of 343,247,702,569,569 with Prime Factorization


13 343, 247, 702, 569, 569
569 343, 19, 54, 569, 569
343, 19, 54, 1, 1

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

13 x 569 x 343 x 19 x 54 x 1 x 1 = 2603137446

Therefore, the lowest common multiple of 343,247,702,569,569 is 2603137446.

LCM Formula to Find Lowest Common Multiple of 343,247,702,569,569

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.

343 x 247 x 702 x 569 x 569 = 19255407688062

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.

343 : 1, 7, 49, 343

247 : 1, 13, 19, 247

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

569 : 1, 569

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,247,702,569,569, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

247:13x 19

702:2x 3x 3x 3x 13

569:569

569:569

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

13x 569 = 7397

Therefore, the value for common factors is 7397.

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 = 19255407688062/(1x7397)

LCM = 19255407688062/7397

LCM = 2603137446

Thus, we can understand that the LCM of 343,247,702,569,569 is 2603137446.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 247, 702, 569, 569

1. What is the LCM of 343, 247, 702, 569, 569?

Answer: LCM of 343, 247, 702, 569, 569 is 2603137446.

2. How to calculate the LCM of 343, 247, 702, 569, 569?

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 343, 247, 702, 569, 569.

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}.