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LCM of 169, 752, 466, 684, 934

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


Find the LCM of 169, 752, 466, 684, 934 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, 752, 466, 684, 934. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,752,466,684,934

Given numbers are 169,752,466,684,934

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

The LCM of 169,752,466,684,934 is 2364685874928.

Find LCM of 169,752,466,684,934 with Prime Factorization


2 169, 752, 466, 684, 934
2 169, 376, 233, 342, 467
169, 188, 233, 171, 467

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

2 x 2 x 169 x 188 x 233 x 171 x 467 = 2364685874928

Therefore, the lowest common multiple of 169,752,466,684,934 is 2364685874928.

LCM Formula to Find Lowest Common Multiple of 169,752,466,684,934

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 752 x 466 x 684 x 934 = 37834973998848

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

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

466 : 1, 2, 233, 466

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

934 : 1, 2, 467, 934

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,752,466,684,934, is 1.

Now, the common factors can be found like this.

169:13x 13

752:2x 2x 2x 2x 47

466:2x 233

684:2x 2x 3x 3x 19

934:2x 467

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 2 = 16

Therefore, the value for common factors is 16.

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 = 37834973998848/(1x16)

LCM = 37834973998848/16

LCM = 2364685874928

Thus, we can understand that the LCM of 169,752,466,684,934 is 2364685874928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 752, 466, 684, 934

1. What is the LCM of 169, 752, 466, 684, 934?

Answer: LCM of 169, 752, 466, 684, 934 is 2364685874928.

2. How to calculate the LCM of 169, 752, 466, 684, 934?

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, 752, 466, 684, 934.

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}.