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LCM of 418, 934, 624, 489

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


Find the LCM of 418, 934, 624, 489 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 418, 934, 624, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,934,624,489

Given numbers are 418,934,624,489

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

The LCM of 418,934,624,489 is 9927396336.

Find LCM of 418,934,624,489 with Prime Factorization


2 418, 934, 624, 489
3 209, 467, 312, 489
209, 467, 104, 163

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

2 x 3 x 209 x 467 x 104 x 163 = 9927396336

Therefore, the lowest common multiple of 418,934,624,489 is 9927396336.

LCM Formula to Find Lowest Common Multiple of 418,934,624,489

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.

418 x 934 x 624 x 489 = 119128756032

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.

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

934 : 1, 2, 467, 934

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,934,624,489, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

934:2x 467

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

489:3x 163

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 3 = 12

Therefore, the value for common factors is 12.

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 = 119128756032/(1x12)

LCM = 119128756032/12

LCM = 9927396336

Thus, we can understand that the LCM of 418,934,624,489 is 9927396336.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 934, 624, 489

1. What is the LCM of 418, 934, 624, 489?

Answer: LCM of 418, 934, 624, 489 is 9927396336.

2. How to calculate the LCM of 418, 934, 624, 489?

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 418, 934, 624, 489.

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}.