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LCM of 906, 295, 391, 628, 571

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


Find the LCM of 906, 295, 391, 628, 571 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 906, 295, 391, 628, 571. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 906,295,391,628,571

Given numbers are 906,295,391,628,571

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

The LCM of 906,295,391,628,571 is 18736683785580.

Find LCM of 906,295,391,628,571 with Prime Factorization


2 906, 295, 391, 628, 571
453, 295, 391, 314, 571

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

2 x 453 x 295 x 391 x 314 x 571 = 18736683785580

Therefore, the lowest common multiple of 906,295,391,628,571 is 18736683785580.

LCM Formula to Find Lowest Common Multiple of 906,295,391,628,571

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.

906 x 295 x 391 x 628 x 571 = 37473367571160

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

295 : 1, 5, 59, 295

391 : 1, 17, 23, 391

628 : 1, 2, 4, 157, 314, 628

571 : 1, 571

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,295,391,628,571, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

295:5x 59

391:17x 23

628:2x 2x 157

571:571

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 = 37473367571160/(1x2)

LCM = 37473367571160/2

LCM = 18736683785580

Thus, we can understand that the LCM of 906,295,391,628,571 is 18736683785580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 906, 295, 391, 628, 571

1. What is the LCM of 906, 295, 391, 628, 571?

Answer: LCM of 906, 295, 391, 628, 571 is 18736683785580.

2. How to calculate the LCM of 906, 295, 391, 628, 571?

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 906, 295, 391, 628, 571.

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}.