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LCM of 247, 363, 218, 937, 840

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


Find the LCM of 247, 363, 218, 937, 840 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, 363, 218, 937, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,363,218,937,840

Given numbers are 247,363,218,937,840

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

The LCM of 247,363,218,937,840 is 2564057135640.

Find LCM of 247,363,218,937,840 with Prime Factorization


2 247, 363, 218, 937, 840
3 247, 363, 109, 937, 420
247, 121, 109, 937, 140

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

2 x 3 x 247 x 121 x 109 x 937 x 140 = 2564057135640

Therefore, the lowest common multiple of 247,363,218,937,840 is 2564057135640.

LCM Formula to Find Lowest Common Multiple of 247,363,218,937,840

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 363 x 218 x 937 x 840 = 15384342813840

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

363 : 1, 3, 11, 33, 121, 363

218 : 1, 2, 109, 218

937 : 1, 937

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,363,218,937,840, is 1.

Now, the common factors can be found like this.

247:13x 19

363:3x 11x 11

218:2x 109

937:937

840:2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 15384342813840/(1x6)

LCM = 15384342813840/6

LCM = 2564057135640

Thus, we can understand that the LCM of 247,363,218,937,840 is 2564057135640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 363, 218, 937, 840

1. What is the LCM of 247, 363, 218, 937, 840?

Answer: LCM of 247, 363, 218, 937, 840 is 2564057135640.

2. How to calculate the LCM of 247, 363, 218, 937, 840?

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, 363, 218, 937, 840.

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}.