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LCM of 488, 462, 957, 409

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


Find the LCM of 488, 462, 957, 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 488, 462, 957, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,462,957,409

Given numbers are 488,462,957,409

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

The LCM of 488,462,957,409 is 1337066808.

Find LCM of 488,462,957,409 with Prime Factorization


2 488, 462, 957, 409
3 244, 231, 957, 409
11 244, 77, 319, 409
244, 7, 29, 409

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

2 x 3 x 11 x 244 x 7 x 29 x 409 = 1337066808

Therefore, the lowest common multiple of 488,462,957,409 is 1337066808.

LCM Formula to Find Lowest Common Multiple of 488,462,957,409

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.

488 x 462 x 957 x 409 = 88246409328

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

957 : 1, 3, 11, 29, 33, 87, 319, 957

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,462,957,409, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

462:2x 3x 7x 11

957:3x 11x 29

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.

2x 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 88246409328/(1x66)

LCM = 88246409328/66

LCM = 1337066808

Thus, we can understand that the LCM of 488,462,957,409 is 1337066808.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 462, 957, 409

1. What is the LCM of 488, 462, 957, 409?

Answer: LCM of 488, 462, 957, 409 is 1337066808.

2. How to calculate the LCM of 488, 462, 957, 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 488, 462, 957, 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}.