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LCM of 283, 869, 792, 188, 164

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


Find the LCM of 283, 869, 792, 188, 164 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 283, 869, 792, 188, 164. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,869,792,188,164

Given numbers are 283,869,792,188,164

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

The LCM of 283,869,792,188,164 is 34120895688.

Find LCM of 283,869,792,188,164 with Prime Factorization


2 283, 869, 792, 188, 164
2 283, 869, 396, 94, 82
11 283, 869, 198, 47, 41
283, 79, 18, 47, 41

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

2 x 2 x 11 x 283 x 79 x 18 x 47 x 41 = 34120895688

Therefore, the lowest common multiple of 283,869,792,188,164 is 34120895688.

LCM Formula to Find Lowest Common Multiple of 283,869,792,188,164

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.

283 x 869 x 792 x 188 x 164 = 6005277641088

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.

283 : 1, 283

869 : 1, 11, 79, 869

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

188 : 1, 2, 4, 47, 94, 188

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,869,792,188,164, is 1.

Now, the common factors can be found like this.

283:283

869:11x 79

792:2x 2x 2x 3x 3x 11

188:2x 2x 47

164:2x 2x 41

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 11 = 176

Therefore, the value for common factors is 176.

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 = 6005277641088/(1x176)

LCM = 6005277641088/176

LCM = 34120895688

Thus, we can understand that the LCM of 283,869,792,188,164 is 34120895688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 869, 792, 188, 164

1. What is the LCM of 283, 869, 792, 188, 164?

Answer: LCM of 283, 869, 792, 188, 164 is 34120895688.

2. How to calculate the LCM of 283, 869, 792, 188, 164?

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 283, 869, 792, 188, 164.

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}.