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LCM of 794, 638, 552, 946

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


Find the LCM of 794, 638, 552, 946 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 794, 638, 552, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,638,552,946

Given numbers are 794,638,552,946

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

The LCM of 794,638,552,946 is 3005998248.

Find LCM of 794,638,552,946 with Prime Factorization


2 794, 638, 552, 946
11 397, 319, 276, 473
397, 29, 276, 43

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

2 x 11 x 397 x 29 x 276 x 43 = 3005998248

Therefore, the lowest common multiple of 794,638,552,946 is 3005998248.

LCM Formula to Find Lowest Common Multiple of 794,638,552,946

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.

794 x 638 x 552 x 946 = 264527845824

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.

794 : 1, 2, 397, 794

638 : 1, 2, 11, 22, 29, 58, 319, 638

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,638,552,946, is 2.

Now, the common factors can be found like this.

794:2x 397

638:2x 11x 29

552:2x 2x 2x 3x 23

946:2x 11x 43

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 11 = 44

Therefore, the value for common factors is 44.

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 = 264527845824/(2x44)

LCM = 264527845824/88

LCM = 3005998248

Thus, we can understand that the LCM of 794,638,552,946 is 3005998248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 638, 552, 946

1. What is the LCM of 794, 638, 552, 946?

Answer: LCM of 794, 638, 552, 946 is 3005998248.

2. How to calculate the LCM of 794, 638, 552, 946?

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 794, 638, 552, 946.

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}.