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LCM of 416, 505, 624, 418

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


Find the LCM of 416, 505, 624, 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 416, 505, 624, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,505,624,418

Given numbers are 416,505,624,418

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

The LCM of 416,505,624,418 is 131720160.

Find LCM of 416,505,624,418 with Prime Factorization


2 416, 505, 624, 418
2 208, 505, 312, 209
2 104, 505, 156, 209
2 52, 505, 78, 209
13 26, 505, 39, 209
2, 505, 3, 209

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

2 x 2 x 2 x 2 x 13 x 2 x 505 x 3 x 209 = 131720160

Therefore, the lowest common multiple of 416,505,624,418 is 131720160.

LCM Formula to Find Lowest Common Multiple of 416,505,624,418

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.

416 x 505 x 624 x 418 = 54795586560

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

505 : 1, 5, 101, 505

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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 416,505,624,418, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

505:5x 101

624:2x 2x 2x 2x 3x 13

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.

2x 2x 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 54795586560/(1x416)

LCM = 54795586560/416

LCM = 131720160

Thus, we can understand that the LCM of 416,505,624,418 is 131720160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 505, 624, 418

1. What is the LCM of 416, 505, 624, 418?

Answer: LCM of 416, 505, 624, 418 is 131720160.

2. How to calculate the LCM of 416, 505, 624, 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 416, 505, 624, 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}.