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LCM of 512, 918, 369, 896

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


Find the LCM of 512, 918, 369, 896 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 512, 918, 369, 896. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,918,369,896

Given numbers are 512,918,369,896

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

The LCM of 512,918,369,896 is 67447296.

Find LCM of 512,918,369,896 with Prime Factorization


2 512, 918, 369, 896
2 256, 459, 369, 448
2 128, 459, 369, 224
2 64, 459, 369, 112
2 32, 459, 369, 56
2 16, 459, 369, 28
2 8, 459, 369, 14
3 4, 459, 369, 7
3 4, 153, 123, 7
4, 51, 41, 7

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 3 x 4 x 51 x 41 x 7 = 67447296

Therefore, the lowest common multiple of 512,918,369,896 is 67447296.

LCM Formula to Find Lowest Common Multiple of 512,918,369,896

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.

512 x 918 x 369 x 896 = 155398569984

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.

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

369 : 1, 3, 9, 41, 123, 369

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,918,369,896, is 1.

Now, the common factors can be found like this.

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

918:2x 3x 3x 3x 17

369:3x 3x 41

896:2x 2x 2x 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 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 155398569984/(1x2304)

LCM = 155398569984/2304

LCM = 67447296

Thus, we can understand that the LCM of 512,918,369,896 is 67447296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 918, 369, 896

1. What is the LCM of 512, 918, 369, 896?

Answer: LCM of 512, 918, 369, 896 is 67447296.

2. How to calculate the LCM of 512, 918, 369, 896?

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 512, 918, 369, 896.

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}.