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LCM of 852, 373, 355, 593, 622

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


Find the LCM of 852, 373, 355, 593, 622 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 852, 373, 355, 593, 622. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,373,355,593,622

Given numbers are 852,373,355,593,622

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

The LCM of 852,373,355,593,622 is 293044458540.

Find LCM of 852,373,355,593,622 with Prime Factorization


2 852, 373, 355, 593, 622
71 426, 373, 355, 593, 311
6, 373, 5, 593, 311

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

2 x 71 x 6 x 373 x 5 x 593 x 311 = 293044458540

Therefore, the lowest common multiple of 852,373,355,593,622 is 293044458540.

LCM Formula to Find Lowest Common Multiple of 852,373,355,593,622

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.

852 x 373 x 355 x 593 x 622 = 41612313112680

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

373 : 1, 373

355 : 1, 5, 71, 355

593 : 1, 593

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,373,355,593,622, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

373:373

355:5x 71

593:593

622:2x 311

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 41612313112680/(1x142)

LCM = 41612313112680/142

LCM = 293044458540

Thus, we can understand that the LCM of 852,373,355,593,622 is 293044458540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 373, 355, 593, 622

1. What is the LCM of 852, 373, 355, 593, 622?

Answer: LCM of 852, 373, 355, 593, 622 is 293044458540.

2. How to calculate the LCM of 852, 373, 355, 593, 622?

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 852, 373, 355, 593, 622.

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}.