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LCM of 568, 153, 545, 862, 614

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


Find the LCM of 568, 153, 545, 862, 614 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, 153, 545, 862, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,153,545,862,614

Given numbers are 568,153,545,862,614

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

The LCM of 568,153,545,862,614 is 6266887729560.

Find LCM of 568,153,545,862,614 with Prime Factorization


2 568, 153, 545, 862, 614
284, 153, 545, 431, 307

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

2 x 284 x 153 x 545 x 431 x 307 = 6266887729560

Therefore, the lowest common multiple of 568,153,545,862,614 is 6266887729560.

LCM Formula to Find Lowest Common Multiple of 568,153,545,862,614

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 153 x 545 x 862 x 614 = 25067550918240

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

153 : 1, 3, 9, 17, 51, 153

545 : 1, 5, 109, 545

862 : 1, 2, 431, 862

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,153,545,862,614, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

153:3x 3x 17

545:5x 109

862:2x 431

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 25067550918240/(1x4)

LCM = 25067550918240/4

LCM = 6266887729560

Thus, we can understand that the LCM of 568,153,545,862,614 is 6266887729560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 153, 545, 862, 614

1. What is the LCM of 568, 153, 545, 862, 614?

Answer: LCM of 568, 153, 545, 862, 614 is 6266887729560.

2. How to calculate the LCM of 568, 153, 545, 862, 614?

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, 153, 545, 862, 614.

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}.