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LCM of 667, 646, 942, 338, 372

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


Find the LCM of 667, 646, 942, 338, 372 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 667, 646, 942, 338, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,646,942,338,372

Given numbers are 667,646,942,338,372

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

The LCM of 667,646,942,338,372 is 2126462131716.

Find LCM of 667,646,942,338,372 with Prime Factorization


2 667, 646, 942, 338, 372
3 667, 323, 471, 169, 186
667, 323, 157, 169, 62

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

2 x 3 x 667 x 323 x 157 x 169 x 62 = 2126462131716

Therefore, the lowest common multiple of 667,646,942,338,372 is 2126462131716.

LCM Formula to Find Lowest Common Multiple of 667,646,942,338,372

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.

667 x 646 x 942 x 338 x 372 = 51035091161184

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.

667 : 1, 23, 29, 667

646 : 1, 2, 17, 19, 34, 38, 323, 646

942 : 1, 2, 3, 6, 157, 314, 471, 942

338 : 1, 2, 13, 26, 169, 338

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,646,942,338,372, is 1.

Now, the common factors can be found like this.

667:23x 29

646:2x 17x 19

942:2x 3x 157

338:2x 13x 13

372:2x 2x 3x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 51035091161184/(1x24)

LCM = 51035091161184/24

LCM = 2126462131716

Thus, we can understand that the LCM of 667,646,942,338,372 is 2126462131716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 646, 942, 338, 372

1. What is the LCM of 667, 646, 942, 338, 372?

Answer: LCM of 667, 646, 942, 338, 372 is 2126462131716.

2. How to calculate the LCM of 667, 646, 942, 338, 372?

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 667, 646, 942, 338, 372.

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}.