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LCM of 169, 893, 784, 162

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


Find the LCM of 169, 893, 784, 162 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 169, 893, 784, 162. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,893,784,162

Given numbers are 169,893,784,162

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

The LCM of 169,893,784,162 is 9583833168.

Find LCM of 169,893,784,162 with Prime Factorization


2 169, 893, 784, 162
169, 893, 392, 81

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

2 x 169 x 893 x 392 x 81 = 9583833168

Therefore, the lowest common multiple of 169,893,784,162 is 9583833168.

LCM Formula to Find Lowest Common Multiple of 169,893,784,162

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.

169 x 893 x 784 x 162 = 19167666336

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.

169 : 1, 13, 169

893 : 1, 19, 47, 893

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,893,784,162, is 1.

Now, the common factors can be found like this.

169:13x 13

893:19x 47

784:2x 2x 2x 2x 7x 7

162:2x 3x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 19167666336/(1x2)

LCM = 19167666336/2

LCM = 9583833168

Thus, we can understand that the LCM of 169,893,784,162 is 9583833168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 893, 784, 162

1. What is the LCM of 169, 893, 784, 162?

Answer: LCM of 169, 893, 784, 162 is 9583833168.

2. How to calculate the LCM of 169, 893, 784, 162?

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 169, 893, 784, 162.

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}.