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LCM of 310, 642, 400, 544

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


Find the LCM of 310, 642, 400, 544 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 310, 642, 400, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,642,400,544

Given numbers are 310,642,400,544

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

The LCM of 310,642,400,544 is 135333600.

Find LCM of 310,642,400,544 with Prime Factorization


2 310, 642, 400, 544
2 155, 321, 200, 272
2 155, 321, 100, 136
2 155, 321, 50, 68
5 155, 321, 25, 34
31, 321, 5, 34

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

2 x 2 x 2 x 2 x 5 x 31 x 321 x 5 x 34 = 135333600

Therefore, the lowest common multiple of 310,642,400,544 is 135333600.

LCM Formula to Find Lowest Common Multiple of 310,642,400,544

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.

310 x 642 x 400 x 544 = 43306752000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

642 : 1, 2, 3, 6, 107, 214, 321, 642

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,642,400,544, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

642:2x 3x 107

400:2x 2x 2x 2x 5x 5

544:2x 2x 2x 2x 2x 17

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 43306752000/(2x160)

LCM = 43306752000/320

LCM = 135333600

Thus, we can understand that the LCM of 310,642,400,544 is 135333600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 642, 400, 544

1. What is the LCM of 310, 642, 400, 544?

Answer: LCM of 310, 642, 400, 544 is 135333600.

2. How to calculate the LCM of 310, 642, 400, 544?

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 310, 642, 400, 544.

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}.