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LCM of 409, 101, 909, 766

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


Find the LCM of 409, 101, 909, 766 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 409, 101, 909, 766. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,101,909,766

Given numbers are 409,101,909,766

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

The LCM of 409,101,909,766 is 284784246.

Find LCM of 409,101,909,766 with Prime Factorization


101 409, 101, 909, 766
409, 1, 9, 766

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

101 x 409 x 1 x 9 x 766 = 284784246

Therefore, the lowest common multiple of 409,101,909,766 is 284784246.

LCM Formula to Find Lowest Common Multiple of 409,101,909,766

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.

409 x 101 x 909 x 766 = 28763208846

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.

409 : 1, 409

101 : 1, 101

909 : 1, 3, 9, 101, 303, 909

766 : 1, 2, 383, 766

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,101,909,766, is 1.

Now, the common factors can be found like this.

409:409

101:101

909:3x 3x 101

766:2x 383

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

101 = 101

Therefore, the value for common factors is 101.

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 = 28763208846/(1x101)

LCM = 28763208846/101

LCM = 284784246

Thus, we can understand that the LCM of 409,101,909,766 is 284784246.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 101, 909, 766

1. What is the LCM of 409, 101, 909, 766?

Answer: LCM of 409, 101, 909, 766 is 284784246.

2. How to calculate the LCM of 409, 101, 909, 766?

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 409, 101, 909, 766.

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}.