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LCM of 169, 845, 847, 460

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


Find the LCM of 169, 845, 847, 460 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, 845, 847, 460. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,845,847,460

Given numbers are 169,845,847,460

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

The LCM of 169,845,847,460 is 65845780.

Find LCM of 169,845,847,460 with Prime Factorization


5 169, 845, 847, 460
13 169, 169, 847, 92
13 13, 13, 847, 92
1, 1, 847, 92

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

5 x 13 x 13 x 1 x 1 x 847 x 92 = 65845780

Therefore, the lowest common multiple of 169,845,847,460 is 65845780.

LCM Formula to Find Lowest Common Multiple of 169,845,847,460

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 845 x 847 x 460 = 55639684100

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

845 : 1, 5, 13, 65, 169, 845

847 : 1, 7, 11, 77, 121, 847

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,845,847,460, is 1.

Now, the common factors can be found like this.

169:13x 13

845:5x 13x 13

847:7x 11x 11

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 13x 13 = 845

Therefore, the value for common factors is 845.

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 = 55639684100/(1x845)

LCM = 55639684100/845

LCM = 65845780

Thus, we can understand that the LCM of 169,845,847,460 is 65845780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 845, 847, 460

1. What is the LCM of 169, 845, 847, 460?

Answer: LCM of 169, 845, 847, 460 is 65845780.

2. How to calculate the LCM of 169, 845, 847, 460?

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, 845, 847, 460.

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}.