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LCM of 822, 697, 266, 409

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


Find the LCM of 822, 697, 266, 409 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 822, 697, 266, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 822,697,266,409

Given numbers are 822,697,266,409

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

The LCM of 822,697,266,409 is 31165890798.

Find LCM of 822,697,266,409 with Prime Factorization


2 822, 697, 266, 409
411, 697, 133, 409

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

2 x 411 x 697 x 133 x 409 = 31165890798

Therefore, the lowest common multiple of 822,697,266,409 is 31165890798.

LCM Formula to Find Lowest Common Multiple of 822,697,266,409

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.

822 x 697 x 266 x 409 = 62331781596

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.

822 : 1, 2, 3, 6, 137, 274, 411, 822

697 : 1, 17, 41, 697

266 : 1, 2, 7, 14, 19, 38, 133, 266

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,697,266,409, is 1.

Now, the common factors can be found like this.

822:2x 3x 137

697:17x 41

266:2x 7x 19

409:409

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 = 62331781596/(1x2)

LCM = 62331781596/2

LCM = 31165890798

Thus, we can understand that the LCM of 822,697,266,409 is 31165890798.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 822, 697, 266, 409

1. What is the LCM of 822, 697, 266, 409?

Answer: LCM of 822, 697, 266, 409 is 31165890798.

2. How to calculate the LCM of 822, 697, 266, 409?

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 822, 697, 266, 409.

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}.