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LCM of 275, 173, 466, 444

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


Find the LCM of 275, 173, 466, 444 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 275, 173, 466, 444. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 275,173,466,444

Given numbers are 275,173,466,444

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

The LCM of 275,173,466,444 is 4921728900.

Find LCM of 275,173,466,444 with Prime Factorization


2 275, 173, 466, 444
275, 173, 233, 222

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

2 x 275 x 173 x 233 x 222 = 4921728900

Therefore, the lowest common multiple of 275,173,466,444 is 4921728900.

LCM Formula to Find Lowest Common Multiple of 275,173,466,444

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.

275 x 173 x 466 x 444 = 9843457800

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.

275 : 1, 5, 11, 25, 55, 275

173 : 1, 173

466 : 1, 2, 233, 466

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,173,466,444, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

173:173

466:2x 233

444:2x 2x 3x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 9843457800/(1x2)

LCM = 9843457800/2

LCM = 4921728900

Thus, we can understand that the LCM of 275,173,466,444 is 4921728900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 275, 173, 466, 444

1. What is the LCM of 275, 173, 466, 444?

Answer: LCM of 275, 173, 466, 444 is 4921728900.

2. How to calculate the LCM of 275, 173, 466, 444?

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 275, 173, 466, 444.

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}.