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LCM of 466, 231, 357, 420, 776

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


Find the LCM of 466, 231, 357, 420, 776 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 466, 231, 357, 420, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,231,357,420,776

Given numbers are 466,231,357,420,776

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

The LCM of 466,231,357,420,776 is 3550165080.

Find LCM of 466,231,357,420,776 with Prime Factorization


2 466, 231, 357, 420, 776
2 233, 231, 357, 210, 388
3 233, 231, 357, 105, 194
7 233, 77, 119, 35, 194
233, 11, 17, 5, 194

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

2 x 2 x 3 x 7 x 233 x 11 x 17 x 5 x 194 = 3550165080

Therefore, the lowest common multiple of 466,231,357,420,776 is 3550165080.

LCM Formula to Find Lowest Common Multiple of 466,231,357,420,776

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.

466 x 231 x 357 x 420 x 776 = 12524982402240

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.

466 : 1, 2, 233, 466

231 : 1, 3, 7, 11, 21, 33, 77, 231

357 : 1, 3, 7, 17, 21, 51, 119, 357

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,231,357,420,776, is 1.

Now, the common factors can be found like this.

466:2x 233

231:3x 7x 11

357:3x 7x 17

420:2x 2x 3x 5x 7

776:2x 2x 2x 97

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

2x 2x 2x 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 12524982402240/(1x3528)

LCM = 12524982402240/3528

LCM = 3550165080

Thus, we can understand that the LCM of 466,231,357,420,776 is 3550165080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 231, 357, 420, 776

1. What is the LCM of 466, 231, 357, 420, 776?

Answer: LCM of 466, 231, 357, 420, 776 is 3550165080.

2. How to calculate the LCM of 466, 231, 357, 420, 776?

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 466, 231, 357, 420, 776.

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}.