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LCM of 896, 240, 945, 512

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


Find the LCM of 896, 240, 945, 512 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 896, 240, 945, 512. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 896,240,945,512

Given numbers are 896,240,945,512

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

The LCM of 896,240,945,512 is 483840.

Find LCM of 896,240,945,512 with Prime Factorization


2 896, 240, 945, 512
2 448, 120, 945, 256
2 224, 60, 945, 128
2 112, 30, 945, 64
2 56, 15, 945, 32
2 28, 15, 945, 16
2 14, 15, 945, 8
3 7, 15, 945, 4
5 7, 5, 315, 4
7 7, 1, 63, 4
1, 1, 9, 4

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 1 x 9 x 4 = 483840

Therefore, the lowest common multiple of 896,240,945,512 is 483840.

LCM Formula to Find Lowest Common Multiple of 896,240,945,512

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.

896 x 240 x 945 x 512 = 104044953600

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,240,945,512, is 1.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

240:2x 2x 2x 2x 3x 5

945:3x 3x 3x 5x 7

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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 2x 2x 3x 5x 7 = 215040

Therefore, the value for common factors is 215040.

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 = 104044953600/(1x215040)

LCM = 104044953600/215040

LCM = 483840

Thus, we can understand that the LCM of 896,240,945,512 is 483840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 896, 240, 945, 512

1. What is the LCM of 896, 240, 945, 512?

Answer: LCM of 896, 240, 945, 512 is 483840.

2. How to calculate the LCM of 896, 240, 945, 512?

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 896, 240, 945, 512.

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}.