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LCM of 321, 158, 749, 449

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


Find the LCM of 321, 158, 749, 449 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 321, 158, 749, 449. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,158,749,449

Given numbers are 321,158,749,449

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

The LCM of 321,158,749,449 is 159406674.

Find LCM of 321,158,749,449 with Prime Factorization


107 321, 158, 749, 449
3, 158, 7, 449

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

107 x 3 x 158 x 7 x 449 = 159406674

Therefore, the lowest common multiple of 321,158,749,449 is 159406674.

LCM Formula to Find Lowest Common Multiple of 321,158,749,449

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.

321 x 158 x 749 x 449 = 17056514118

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.

321 : 1, 3, 107, 321

158 : 1, 2, 79, 158

749 : 1, 7, 107, 749

449 : 1, 449

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,158,749,449, is 1.

Now, the common factors can be found like this.

321:3x 107

158:2x 79

749:7x 107

449:449

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

107 = 107

Therefore, the value for common factors is 107.

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 = 17056514118/(1x107)

LCM = 17056514118/107

LCM = 159406674

Thus, we can understand that the LCM of 321,158,749,449 is 159406674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 158, 749, 449

1. What is the LCM of 321, 158, 749, 449?

Answer: LCM of 321, 158, 749, 449 is 159406674.

2. How to calculate the LCM of 321, 158, 749, 449?

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 321, 158, 749, 449.

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}.