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LCM of 362, 451, 187, 372

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


Find the LCM of 362, 451, 187, 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 362, 451, 187, 372. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,451,187,372

Given numbers are 362,451,187,372

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

The LCM of 362,451,187,372 is 516234444.

Find LCM of 362,451,187,372 with Prime Factorization


2 362, 451, 187, 372
11 181, 451, 187, 186
181, 41, 17, 186

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

2 x 11 x 181 x 41 x 17 x 186 = 516234444

Therefore, the lowest common multiple of 362,451,187,372 is 516234444.

LCM Formula to Find Lowest Common Multiple of 362,451,187,372

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.

362 x 451 x 187 x 372 = 11357157768

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.

362 : 1, 2, 181, 362

451 : 1, 11, 41, 451

187 : 1, 11, 17, 187

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 362,451,187,372, is 1.

Now, the common factors can be found like this.

362:2x 181

451:11x 41

187:11x 17

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 11 = 22

Therefore, the value for common factors is 22.

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 = 11357157768/(1x22)

LCM = 11357157768/22

LCM = 516234444

Thus, we can understand that the LCM of 362,451,187,372 is 516234444.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 451, 187, 372

1. What is the LCM of 362, 451, 187, 372?

Answer: LCM of 362, 451, 187, 372 is 516234444.

2. How to calculate the LCM of 362, 451, 187, 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 362, 451, 187, 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}.