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LCM of 449, 567, 372, 847

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


Find the LCM of 449, 567, 372, 847 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 449, 567, 372, 847. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,567,372,847

Given numbers are 449,567,372,847

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

The LCM of 449,567,372,847 is 3819763332.

Find LCM of 449,567,372,847 with Prime Factorization


3 449, 567, 372, 847
7 449, 189, 124, 847
449, 27, 124, 121

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

3 x 7 x 449 x 27 x 124 x 121 = 3819763332

Therefore, the lowest common multiple of 449,567,372,847 is 3819763332.

LCM Formula to Find Lowest Common Multiple of 449,567,372,847

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.

449 x 567 x 372 x 847 = 80215029972

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.

449 : 1, 449

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

847 : 1, 7, 11, 77, 121, 847

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,567,372,847, is 1.

Now, the common factors can be found like this.

449:449

567:3x 3x 3x 3x 7

372:2x 2x 3x 31

847:7x 11x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 7 = 21

Therefore, the value for common factors is 21.

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 = 80215029972/(1x21)

LCM = 80215029972/21

LCM = 3819763332

Thus, we can understand that the LCM of 449,567,372,847 is 3819763332.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 567, 372, 847

1. What is the LCM of 449, 567, 372, 847?

Answer: LCM of 449, 567, 372, 847 is 3819763332.

2. How to calculate the LCM of 449, 567, 372, 847?

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 449, 567, 372, 847.

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}.