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LCM of 672, 563, 713, 259, 644

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


Find the LCM of 672, 563, 713, 259, 644 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 672, 563, 713, 259, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,563,713,259,644

Given numbers are 672,563,713,259,644

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

The LCM of 672,563,713,259,644 is 9980882016.

Find LCM of 672,563,713,259,644 with Prime Factorization


2 672, 563, 713, 259, 644
2 336, 563, 713, 259, 322
7 168, 563, 713, 259, 161
23 24, 563, 713, 37, 23
24, 563, 31, 37, 1

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

2 x 2 x 7 x 23 x 24 x 563 x 31 x 37 x 1 = 9980882016

Therefore, the lowest common multiple of 672,563,713,259,644 is 9980882016.

LCM Formula to Find Lowest Common Multiple of 672,563,713,259,644

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.

672 x 563 x 713 x 259 x 644 = 44993816128128

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

563 : 1, 563

713 : 1, 23, 31, 713

259 : 1, 7, 37, 259

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,563,713,259,644, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

563:563

713:23x 31

259:7x 37

644:2x 2x 7x 23

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 7x 7x 23 = 4508

Therefore, the value for common factors is 4508.

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 = 44993816128128/(1x4508)

LCM = 44993816128128/4508

LCM = 9980882016

Thus, we can understand that the LCM of 672,563,713,259,644 is 9980882016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 563, 713, 259, 644

1. What is the LCM of 672, 563, 713, 259, 644?

Answer: LCM of 672, 563, 713, 259, 644 is 9980882016.

2. How to calculate the LCM of 672, 563, 713, 259, 644?

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 672, 563, 713, 259, 644.

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}.