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LCM of 410, 538, 976, 574, 663

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


Find the LCM of 410, 538, 976, 574, 663 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 410, 538, 976, 574, 663. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 410,538,976,574,663

Given numbers are 410,538,976,574,663

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

The LCM of 410,538,976,574,663 is 249785674320.

Find LCM of 410,538,976,574,663 with Prime Factorization


2 410, 538, 976, 574, 663
41 205, 269, 488, 287, 663
5, 269, 488, 7, 663

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

2 x 41 x 5 x 269 x 488 x 7 x 663 = 249785674320

Therefore, the lowest common multiple of 410,538,976,574,663 is 249785674320.

LCM Formula to Find Lowest Common Multiple of 410,538,976,574,663

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.

410 x 538 x 976 x 574 x 663 = 81929701176960

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.

410 : 1, 2, 5, 10, 41, 82, 205, 410

538 : 1, 2, 269, 538

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

574 : 1, 2, 7, 14, 41, 82, 287, 574

663 : 1, 3, 13, 17, 39, 51, 221, 663

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 410,538,976,574,663, is 1.

Now, the common factors can be found like this.

410:2x 5x 41

538:2x 269

976:2x 2x 2x 2x 61

574:2x 7x 41

663:3x 13x 17

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 41 = 328

Therefore, the value for common factors is 328.

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 = 81929701176960/(1x328)

LCM = 81929701176960/328

LCM = 249785674320

Thus, we can understand that the LCM of 410,538,976,574,663 is 249785674320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 410, 538, 976, 574, 663

1. What is the LCM of 410, 538, 976, 574, 663?

Answer: LCM of 410, 538, 976, 574, 663 is 249785674320.

2. How to calculate the LCM of 410, 538, 976, 574, 663?

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 410, 538, 976, 574, 663.

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}.