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LCM of 771, 226, 409, 460

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


Find the LCM of 771, 226, 409, 460 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 771, 226, 409, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,226,409,460

Given numbers are 771,226,409,460

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

The LCM of 771,226,409,460 is 16391321220.

Find LCM of 771,226,409,460 with Prime Factorization


2 771, 226, 409, 460
771, 113, 409, 230

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

2 x 771 x 113 x 409 x 230 = 16391321220

Therefore, the lowest common multiple of 771,226,409,460 is 16391321220.

LCM Formula to Find Lowest Common Multiple of 771,226,409,460

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.

771 x 226 x 409 x 460 = 32782642440

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.

771 : 1, 3, 257, 771

226 : 1, 2, 113, 226

409 : 1, 409

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,226,409,460, is 1.

Now, the common factors can be found like this.

771:3x 257

226:2x 113

409:409

460:2x 2x 5x 23

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 = 32782642440/(1x2)

LCM = 32782642440/2

LCM = 16391321220

Thus, we can understand that the LCM of 771,226,409,460 is 16391321220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 226, 409, 460

1. What is the LCM of 771, 226, 409, 460?

Answer: LCM of 771, 226, 409, 460 is 16391321220.

2. How to calculate the LCM of 771, 226, 409, 460?

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 771, 226, 409, 460.

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}.