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LCM of 374, 678, 793, 442

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


Find the LCM of 374, 678, 793, 442 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 374, 678, 793, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,678,793,442

Given numbers are 374,678,793,442

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

The LCM of 374,678,793,442 is 100541298.

Find LCM of 374,678,793,442 with Prime Factorization


2 374, 678, 793, 442
13 187, 339, 793, 221
17 187, 339, 61, 17
11, 339, 61, 1

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

2 x 13 x 17 x 11 x 339 x 61 x 1 = 100541298

Therefore, the lowest common multiple of 374,678,793,442 is 100541298.

LCM Formula to Find Lowest Common Multiple of 374,678,793,442

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.

374 x 678 x 793 x 442 = 88878507432

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

678 : 1, 2, 3, 6, 113, 226, 339, 678

793 : 1, 13, 61, 793

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,678,793,442, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

678:2x 3x 113

793:13x 61

442:2x 13x 17

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 88878507432/(1x884)

LCM = 88878507432/884

LCM = 100541298

Thus, we can understand that the LCM of 374,678,793,442 is 100541298.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 678, 793, 442

1. What is the LCM of 374, 678, 793, 442?

Answer: LCM of 374, 678, 793, 442 is 100541298.

2. How to calculate the LCM of 374, 678, 793, 442?

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 374, 678, 793, 442.

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}.