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LCM of 424, 494, 931, 633

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


Find the LCM of 424, 494, 931, 633 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 424, 494, 931, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,494,931,633

Given numbers are 424,494,931,633

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

The LCM of 424,494,931,633 is 3248348376.

Find LCM of 424,494,931,633 with Prime Factorization


2 424, 494, 931, 633
19 212, 247, 931, 633
212, 13, 49, 633

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

2 x 19 x 212 x 13 x 49 x 633 = 3248348376

Therefore, the lowest common multiple of 424,494,931,633 is 3248348376.

LCM Formula to Find Lowest Common Multiple of 424,494,931,633

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.

424 x 494 x 931 x 633 = 123437238288

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.

424 : 1, 2, 4, 8, 53, 106, 212, 424

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

931 : 1, 7, 19, 49, 133, 931

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,494,931,633, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

494:2x 13x 19

931:7x 7x 19

633:3x 211

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 123437238288/(1x38)

LCM = 123437238288/38

LCM = 3248348376

Thus, we can understand that the LCM of 424,494,931,633 is 3248348376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 494, 931, 633

1. What is the LCM of 424, 494, 931, 633?

Answer: LCM of 424, 494, 931, 633 is 3248348376.

2. How to calculate the LCM of 424, 494, 931, 633?

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 424, 494, 931, 633.

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}.