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LCM of 444, 406, 649, 562, 285

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


Find the LCM of 444, 406, 649, 562, 285 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 444, 406, 649, 562, 285. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 444,406,649,562,285

Given numbers are 444,406,649,562,285

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

The LCM of 444,406,649,562,285 is 1561541857260.

Find LCM of 444,406,649,562,285 with Prime Factorization


2 444, 406, 649, 562, 285
3 222, 203, 649, 281, 285
74, 203, 649, 281, 95

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

2 x 3 x 74 x 203 x 649 x 281 x 95 = 1561541857260

Therefore, the lowest common multiple of 444,406,649,562,285 is 1561541857260.

LCM Formula to Find Lowest Common Multiple of 444,406,649,562,285

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.

444 x 406 x 649 x 562 x 285 = 18738502287120

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.

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

649 : 1, 11, 59, 649

562 : 1, 2, 281, 562

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,406,649,562,285, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

406:2x 7x 29

649:11x 59

562:2x 281

285:3x 5x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 18738502287120/(1x12)

LCM = 18738502287120/12

LCM = 1561541857260

Thus, we can understand that the LCM of 444,406,649,562,285 is 1561541857260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 444, 406, 649, 562, 285

1. What is the LCM of 444, 406, 649, 562, 285?

Answer: LCM of 444, 406, 649, 562, 285 is 1561541857260.

2. How to calculate the LCM of 444, 406, 649, 562, 285?

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 444, 406, 649, 562, 285.

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}.