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LCM of 836, 772, 893, 840, 224

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


Find the LCM of 836, 772, 893, 840, 224 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 836, 772, 893, 840, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,772,893,840,224

Given numbers are 836,772,893,840,224

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

The LCM of 836,772,893,840,224 is 6370019040.

Find LCM of 836,772,893,840,224 with Prime Factorization


2 836, 772, 893, 840, 224
2 418, 386, 893, 420, 112
2 209, 193, 893, 210, 56
7 209, 193, 893, 105, 28
19 209, 193, 893, 15, 4
11, 193, 47, 15, 4

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

2 x 2 x 2 x 7 x 19 x 11 x 193 x 47 x 15 x 4 = 6370019040

Therefore, the lowest common multiple of 836,772,893,840,224 is 6370019040.

LCM Formula to Find Lowest Common Multiple of 836,772,893,840,224

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.

836 x 772 x 893 x 840 x 224 = 108443204136960

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.

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

772 : 1, 2, 4, 193, 386, 772

893 : 1, 19, 47, 893

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,772,893,840,224, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

772:2x 2x 193

893:19x 47

840:2x 2x 2x 3x 5x 7

224:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 7x 19 = 17024

Therefore, the value for common factors is 17024.

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 = 108443204136960/(1x17024)

LCM = 108443204136960/17024

LCM = 6370019040

Thus, we can understand that the LCM of 836,772,893,840,224 is 6370019040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 772, 893, 840, 224

1. What is the LCM of 836, 772, 893, 840, 224?

Answer: LCM of 836, 772, 893, 840, 224 is 6370019040.

2. How to calculate the LCM of 836, 772, 893, 840, 224?

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 836, 772, 893, 840, 224.

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}.