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LCM of 624, 418, 620, 788, 247

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


Find the LCM of 624, 418, 620, 788, 247 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 624, 418, 620, 788, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 624,418,620,788,247

Given numbers are 624,418,620,788,247

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

The LCM of 624,418,620,788,247 is 3982252560.

Find LCM of 624,418,620,788,247 with Prime Factorization


2 624, 418, 620, 788, 247
2 312, 209, 310, 394, 247
13 156, 209, 155, 197, 247
19 12, 209, 155, 197, 19
12, 11, 155, 197, 1

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

2 x 2 x 13 x 19 x 12 x 11 x 155 x 197 x 1 = 3982252560

Therefore, the lowest common multiple of 624,418,620,788,247 is 3982252560.

LCM Formula to Find Lowest Common Multiple of 624,418,620,788,247

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.

624 x 418 x 620 x 788 x 247 = 31475724234240

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.

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

788 : 1, 2, 4, 197, 394, 788

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,418,620,788,247, is 1.

Now, the common factors can be found like this.

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

418:2x 11x 19

620:2x 2x 5x 31

788:2x 2x 197

247:13x 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 13x 19 = 7904

Therefore, the value for common factors is 7904.

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 = 31475724234240/(1x7904)

LCM = 31475724234240/7904

LCM = 3982252560

Thus, we can understand that the LCM of 624,418,620,788,247 is 3982252560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 624, 418, 620, 788, 247

1. What is the LCM of 624, 418, 620, 788, 247?

Answer: LCM of 624, 418, 620, 788, 247 is 3982252560.

2. How to calculate the LCM of 624, 418, 620, 788, 247?

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 624, 418, 620, 788, 247.

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}.