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LCM of 424, 642, 935, 547

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


Find the LCM of 424, 642, 935, 547 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, 642, 935, 547. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 424,642,935,547

Given numbers are 424,642,935,547

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

The LCM of 424,642,935,547 is 69609710280.

Find LCM of 424,642,935,547 with Prime Factorization


2 424, 642, 935, 547
212, 321, 935, 547

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

2 x 212 x 321 x 935 x 547 = 69609710280

Therefore, the lowest common multiple of 424,642,935,547 is 69609710280.

LCM Formula to Find Lowest Common Multiple of 424,642,935,547

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 642 x 935 x 547 = 139219420560

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

935 : 1, 5, 11, 17, 55, 85, 187, 935

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,642,935,547, is 1.

Now, the common factors can be found like this.

424:2x 2x 2x 53

642:2x 3x 107

935:5x 11x 17

547:547

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

2 = 2

Therefore, the value for common factors is 2.

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 = 139219420560/(1x2)

LCM = 139219420560/2

LCM = 69609710280

Thus, we can understand that the LCM of 424,642,935,547 is 69609710280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 424, 642, 935, 547

1. What is the LCM of 424, 642, 935, 547?

Answer: LCM of 424, 642, 935, 547 is 69609710280.

2. How to calculate the LCM of 424, 642, 935, 547?

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, 642, 935, 547.

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}.