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LCM of 247, 787, 940, 470, 420

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


Find the LCM of 247, 787, 940, 470, 420 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 247, 787, 940, 470, 420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,787,940,470,420

Given numbers are 247,787,940,470,420

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

The LCM of 247,787,940,470,420 is 3837238860.

Find LCM of 247,787,940,470,420 with Prime Factorization


2 247, 787, 940, 470, 420
2 247, 787, 470, 235, 210
5 247, 787, 235, 235, 105
47 247, 787, 47, 47, 21
247, 787, 1, 1, 21

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

2 x 2 x 5 x 47 x 247 x 787 x 1 x 1 x 21 = 3837238860

Therefore, the lowest common multiple of 247,787,940,470,420 is 3837238860.

LCM Formula to Find Lowest Common Multiple of 247,787,940,470,420

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.

247 x 787 x 940 x 470 x 420 = 36070045284000

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.

247 : 1, 13, 19, 247

787 : 1, 787

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

470 : 1, 2, 5, 10, 47, 94, 235, 470

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,787,940,470,420, is 1.

Now, the common factors can be found like this.

247:13x 19

787:787

940:2x 2x 5x 47

470:2x 5x 47

420:2x 2x 3x 5x 7

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 5x 5x 47 = 9400

Therefore, the value for common factors is 9400.

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 = 36070045284000/(1x9400)

LCM = 36070045284000/9400

LCM = 3837238860

Thus, we can understand that the LCM of 247,787,940,470,420 is 3837238860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 787, 940, 470, 420

1. What is the LCM of 247, 787, 940, 470, 420?

Answer: LCM of 247, 787, 940, 470, 420 is 3837238860.

2. How to calculate the LCM of 247, 787, 940, 470, 420?

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 247, 787, 940, 470, 420.

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}.