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LCM of 564, 442, 648, 952, 183

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


Find the LCM of 564, 442, 648, 952, 183 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, 442, 648, 952, 183. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 564,442,648,952,183

Given numbers are 564,442,648,952,183

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

The LCM of 564,442,648,952,183 is 2874041352.

Find LCM of 564,442,648,952,183 with Prime Factorization


2 564, 442, 648, 952, 183
2 282, 221, 324, 476, 183
2 141, 221, 162, 238, 183
3 141, 221, 81, 119, 183
17 47, 221, 27, 119, 61
47, 13, 27, 7, 61

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

2 x 2 x 2 x 3 x 17 x 47 x 13 x 27 x 7 x 61 = 2874041352

Therefore, the lowest common multiple of 564,442,648,952,183 is 2874041352.

LCM Formula to Find Lowest Common Multiple of 564,442,648,952,183

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 442 x 648 x 952 x 183 = 28142612918784

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,442,648,952,183, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

442:2x 13x 17

648:2x 2x 2x 3x 3x 3x 3

952:2x 2x 2x 7x 17

183:3x 61

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 2x 3x 3x 17 = 9792

Therefore, the value for common factors is 9792.

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 = 28142612918784/(1x9792)

LCM = 28142612918784/9792

LCM = 2874041352

Thus, we can understand that the LCM of 564,442,648,952,183 is 2874041352.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 564, 442, 648, 952, 183

1. What is the LCM of 564, 442, 648, 952, 183?

Answer: LCM of 564, 442, 648, 952, 183 is 2874041352.

2. How to calculate the LCM of 564, 442, 648, 952, 183?

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, 442, 648, 952, 183.

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}.