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LCM of 661, 104, 505, 418

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


Find the LCM of 661, 104, 505, 418 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 661, 104, 505, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 661,104,505,418

Given numbers are 661,104,505,418

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

The LCM of 661,104,505,418 is 7255585480.

Find LCM of 661,104,505,418 with Prime Factorization


2 661, 104, 505, 418
661, 52, 505, 209

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

2 x 661 x 52 x 505 x 209 = 7255585480

Therefore, the lowest common multiple of 661,104,505,418 is 7255585480.

LCM Formula to Find Lowest Common Multiple of 661,104,505,418

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.

661 x 104 x 505 x 418 = 14511170960

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.

661 : 1, 661

104 : 1, 2, 4, 8, 13, 26, 52, 104

505 : 1, 5, 101, 505

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,104,505,418, is 1.

Now, the common factors can be found like this.

661:661

104:2x 2x 2x 13

505:5x 101

418:2x 11x 19

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 = 14511170960/(1x2)

LCM = 14511170960/2

LCM = 7255585480

Thus, we can understand that the LCM of 661,104,505,418 is 7255585480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 661, 104, 505, 418

1. What is the LCM of 661, 104, 505, 418?

Answer: LCM of 661, 104, 505, 418 is 7255585480.

2. How to calculate the LCM of 661, 104, 505, 418?

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 661, 104, 505, 418.

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}.