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LCM of 848, 366, 512, 496, 367

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


Find the LCM of 848, 366, 512, 496, 367 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 848, 366, 512, 496, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 848,366,512,496,367

Given numbers are 848,366,512,496,367

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

The LCM of 848,366,512,496,367 is 56496907776.

Find LCM of 848,366,512,496,367 with Prime Factorization


2 848, 366, 512, 496, 367
2 424, 183, 256, 248, 367
2 212, 183, 128, 124, 367
2 106, 183, 64, 62, 367
53, 183, 32, 31, 367

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

2 x 2 x 2 x 2 x 53 x 183 x 32 x 31 x 367 = 56496907776

Therefore, the lowest common multiple of 848,366,512,496,367 is 56496907776.

LCM Formula to Find Lowest Common Multiple of 848,366,512,496,367

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.

848 x 366 x 512 x 496 x 367 = 28926416781312

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.

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

366 : 1, 2, 3, 6, 61, 122, 183, 366

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,366,512,496,367, is 1.

Now, the common factors can be found like this.

848:2x 2x 2x 2x 53

366:2x 3x 61

512:2x 2x 2x 2x 2x 2x 2x 2x 2

496:2x 2x 2x 2x 31

367:367

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 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 28926416781312/(1x512)

LCM = 28926416781312/512

LCM = 56496907776

Thus, we can understand that the LCM of 848,366,512,496,367 is 56496907776.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 848, 366, 512, 496, 367

1. What is the LCM of 848, 366, 512, 496, 367?

Answer: LCM of 848, 366, 512, 496, 367 is 56496907776.

2. How to calculate the LCM of 848, 366, 512, 496, 367?

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 848, 366, 512, 496, 367.

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}.