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LCM of 293, 640, 408, 820, 836

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


Find the LCM of 293, 640, 408, 820, 836 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 293, 640, 408, 820, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 293,640,408,820,836

Given numbers are 293,640,408,820,836

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

The LCM of 293,640,408,820,836 is 81949802880.

Find LCM of 293,640,408,820,836 with Prime Factorization


2 293, 640, 408, 820, 836
2 293, 320, 204, 410, 418
2 293, 160, 102, 205, 209
5 293, 80, 51, 205, 209
293, 16, 51, 41, 209

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

2 x 2 x 2 x 5 x 293 x 16 x 51 x 41 x 209 = 81949802880

Therefore, the lowest common multiple of 293,640,408,820,836 is 81949802880.

LCM Formula to Find Lowest Common Multiple of 293,640,408,820,836

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.

293 x 640 x 408 x 820 x 836 = 52447873843200

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.

293 : 1, 293

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,640,408,820,836, is 1.

Now, the common factors can be found like this.

293:293

640:2x 2x 2x 2x 2x 2x 2x 5

408:2x 2x 2x 3x 17

820:2x 2x 5x 41

836:2x 2x 11x 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 2x 2x 2x 2x 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 52447873843200/(1x640)

LCM = 52447873843200/640

LCM = 81949802880

Thus, we can understand that the LCM of 293,640,408,820,836 is 81949802880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 293, 640, 408, 820, 836

1. What is the LCM of 293, 640, 408, 820, 836?

Answer: LCM of 293, 640, 408, 820, 836 is 81949802880.

2. How to calculate the LCM of 293, 640, 408, 820, 836?

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 293, 640, 408, 820, 836.

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}.