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LCM of 402, 849, 845, 643, 494

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


Find the LCM of 402, 849, 845, 643, 494 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 402, 849, 845, 643, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,849,845,643,494

Given numbers are 402,849,845,643,494

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

The LCM of 402,849,845,643,494 is 1174447942590.

Find LCM of 402,849,845,643,494 with Prime Factorization


2 402, 849, 845, 643, 494
3 201, 849, 845, 643, 247
13 67, 283, 845, 643, 247
67, 283, 65, 643, 19

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

2 x 3 x 13 x 67 x 283 x 65 x 643 x 19 = 1174447942590

Therefore, the lowest common multiple of 402,849,845,643,494 is 1174447942590.

LCM Formula to Find Lowest Common Multiple of 402,849,845,643,494

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.

402 x 849 x 845 x 643 x 494 = 91606939522020

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

849 : 1, 3, 283, 849

845 : 1, 5, 13, 65, 169, 845

643 : 1, 643

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,849,845,643,494, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

849:3x 283

845:5x 13x 13

643:643

494:2x 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 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 91606939522020/(1x78)

LCM = 91606939522020/78

LCM = 1174447942590

Thus, we can understand that the LCM of 402,849,845,643,494 is 1174447942590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 849, 845, 643, 494

1. What is the LCM of 402, 849, 845, 643, 494?

Answer: LCM of 402, 849, 845, 643, 494 is 1174447942590.

2. How to calculate the LCM of 402, 849, 845, 643, 494?

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 402, 849, 845, 643, 494.

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}.