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LCM of 198, 527, 434, 864

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


Find the LCM of 198, 527, 434, 864 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 198, 527, 434, 864. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,527,434,864

Given numbers are 198,527,434,864

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

The LCM of 198,527,434,864 is 35060256.

Find LCM of 198,527,434,864 with Prime Factorization


2 198, 527, 434, 864
3 99, 527, 217, 432
3 33, 527, 217, 144
31 11, 527, 217, 48
11, 17, 7, 48

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

2 x 3 x 3 x 31 x 11 x 17 x 7 x 48 = 35060256

Therefore, the lowest common multiple of 198,527,434,864 is 35060256.

LCM Formula to Find Lowest Common Multiple of 198,527,434,864

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.

198 x 527 x 434 x 864 = 39127245696

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

527 : 1, 17, 31, 527

434 : 1, 2, 7, 14, 31, 62, 217, 434

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,527,434,864, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

527:17x 31

434:2x 7x 31

864:2x 2x 2x 2x 2x 3x 3x 3

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 3x 3x 31 = 1116

Therefore, the value for common factors is 1116.

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 = 39127245696/(1x1116)

LCM = 39127245696/1116

LCM = 35060256

Thus, we can understand that the LCM of 198,527,434,864 is 35060256.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 527, 434, 864

1. What is the LCM of 198, 527, 434, 864?

Answer: LCM of 198, 527, 434, 864 is 35060256.

2. How to calculate the LCM of 198, 527, 434, 864?

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 198, 527, 434, 864.

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}.