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LCM of 817, 629, 694, 224, 713

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


Find the LCM of 817, 629, 694, 224, 713 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 817, 629, 694, 224, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 817,629,694,224,713

Given numbers are 817,629,694,224,713

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

The LCM of 817,629,694,224,713 is 28479982949152.

Find LCM of 817,629,694,224,713 with Prime Factorization


2 817, 629, 694, 224, 713
817, 629, 347, 112, 713

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

2 x 817 x 629 x 347 x 112 x 713 = 28479982949152

Therefore, the lowest common multiple of 817,629,694,224,713 is 28479982949152.

LCM Formula to Find Lowest Common Multiple of 817,629,694,224,713

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.

817 x 629 x 694 x 224 x 713 = 56959965898304

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.

817 : 1, 19, 43, 817

629 : 1, 17, 37, 629

694 : 1, 2, 347, 694

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,629,694,224,713, is 1.

Now, the common factors can be found like this.

817:19x 43

629:17x 37

694:2x 347

224:2x 2x 2x 2x 2x 7

713:23x 31

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

2 = 2

Therefore, the value for common factors is 2.

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 = 56959965898304/(1x2)

LCM = 56959965898304/2

LCM = 28479982949152

Thus, we can understand that the LCM of 817,629,694,224,713 is 28479982949152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 817, 629, 694, 224, 713

1. What is the LCM of 817, 629, 694, 224, 713?

Answer: LCM of 817, 629, 694, 224, 713 is 28479982949152.

2. How to calculate the LCM of 817, 629, 694, 224, 713?

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 817, 629, 694, 224, 713.

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}.