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LCM of 568, 671, 848, 742

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


Find the LCM of 568, 671, 848, 742 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, 671, 848, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,671,848,742

Given numbers are 568,671,848,742

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

The LCM of 568,671,848,742 is 282796976.

Find LCM of 568,671,848,742 with Prime Factorization


2 568, 671, 848, 742
2 284, 671, 424, 371
2 142, 671, 212, 371
53 71, 671, 106, 371
71, 671, 2, 7

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

2 x 2 x 2 x 53 x 71 x 671 x 2 x 7 = 282796976

Therefore, the lowest common multiple of 568,671,848,742 is 282796976.

LCM Formula to Find Lowest Common Multiple of 568,671,848,742

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 671 x 848 x 742 = 239811835648

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

671 : 1, 11, 61, 671

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,671,848,742, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

671:11x 61

848:2x 2x 2x 2x 53

742:2x 7x 53

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

2x 2x 2x 2x 53 = 848

Therefore, the value for common factors is 848.

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 = 239811835648/(1x848)

LCM = 239811835648/848

LCM = 282796976

Thus, we can understand that the LCM of 568,671,848,742 is 282796976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 671, 848, 742

1. What is the LCM of 568, 671, 848, 742?

Answer: LCM of 568, 671, 848, 742 is 282796976.

2. How to calculate the LCM of 568, 671, 848, 742?

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, 671, 848, 742.

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}.