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LCM of 564, 946, 510, 230, 255

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


Find the LCM of 564, 946, 510, 230, 255 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 564, 946, 510, 230, 255. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,946,510,230,255

Given numbers are 564,946,510,230,255

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

The LCM of 564,946,510,230,255 is 521539260.

Find LCM of 564,946,510,230,255 with Prime Factorization


2 564, 946, 510, 230, 255
3 282, 473, 255, 115, 255
5 94, 473, 85, 115, 85
17 94, 473, 17, 23, 17
94, 473, 1, 23, 1

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

2 x 3 x 5 x 17 x 94 x 473 x 1 x 23 x 1 = 521539260

Therefore, the lowest common multiple of 564,946,510,230,255 is 521539260.

LCM Formula to Find Lowest Common Multiple of 564,946,510,230,255

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.

564 x 946 x 510 x 230 x 255 = 15959101356000

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

946 : 1, 2, 11, 22, 43, 86, 473, 946

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

230 : 1, 2, 5, 10, 23, 46, 115, 230

255 : 1, 3, 5, 15, 17, 51, 85, 255

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,946,510,230,255, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

946:2x 11x 43

510:2x 3x 5x 17

230:2x 5x 23

255:3x 5x 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 3x 3x 5x 5x 17 = 30600

Therefore, the value for common factors is 30600.

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 = 15959101356000/(1x30600)

LCM = 15959101356000/30600

LCM = 521539260

Thus, we can understand that the LCM of 564,946,510,230,255 is 521539260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 946, 510, 230, 255

1. What is the LCM of 564, 946, 510, 230, 255?

Answer: LCM of 564, 946, 510, 230, 255 is 521539260.

2. How to calculate the LCM of 564, 946, 510, 230, 255?

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 564, 946, 510, 230, 255.

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}.