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LCM of 484, 576, 952, 315, 112

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


Find the LCM of 484, 576, 952, 315, 112 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 484, 576, 952, 315, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,576,952,315,112

Given numbers are 484,576,952,315,112

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

The LCM of 484,576,952,315,112 is 41469120.

Find LCM of 484,576,952,315,112 with Prime Factorization


2 484, 576, 952, 315, 112
2 242, 288, 476, 315, 56
2 121, 144, 238, 315, 28
2 121, 72, 119, 315, 14
3 121, 36, 119, 315, 7
3 121, 12, 119, 105, 7
7 121, 4, 119, 35, 7
121, 4, 17, 5, 1

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

2 x 2 x 2 x 2 x 3 x 3 x 7 x 121 x 4 x 17 x 5 x 1 = 41469120

Therefore, the lowest common multiple of 484,576,952,315,112 is 41469120.

LCM Formula to Find Lowest Common Multiple of 484,576,952,315,112

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.

484 x 576 x 952 x 315 x 112 = 9363395543040

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,576,952,315,112, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

576:2x 2x 2x 2x 2x 2x 3x 3

952:2x 2x 2x 7x 17

315:3x 3x 5x 7

112:2x 2x 2x 2x 7

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 2x 2x 2x 3x 3x 7x 7 = 225792

Therefore, the value for common factors is 225792.

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 = 9363395543040/(1x225792)

LCM = 9363395543040/225792

LCM = 41469120

Thus, we can understand that the LCM of 484,576,952,315,112 is 41469120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 576, 952, 315, 112

1. What is the LCM of 484, 576, 952, 315, 112?

Answer: LCM of 484, 576, 952, 315, 112 is 41469120.

2. How to calculate the LCM of 484, 576, 952, 315, 112?

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 484, 576, 952, 315, 112.

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}.