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LCM of 169, 136, 689, 139, 610

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


Find the LCM of 169, 136, 689, 139, 610 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, 136, 689, 139, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,136,689,139,610

Given numbers are 169,136,689,139,610

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

The LCM of 169,136,689,139,610 is 51643554040.

Find LCM of 169,136,689,139,610 with Prime Factorization


2 169, 136, 689, 139, 610
13 169, 68, 689, 139, 305
13, 68, 53, 139, 305

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

2 x 13 x 13 x 68 x 53 x 139 x 305 = 51643554040

Therefore, the lowest common multiple of 169,136,689,139,610 is 51643554040.

LCM Formula to Find Lowest Common Multiple of 169,136,689,139,610

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 136 x 689 x 139 x 610 = 1342732405040

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

689 : 1, 13, 53, 689

139 : 1, 139

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,136,689,139,610, is 1.

Now, the common factors can be found like this.

169:13x 13

136:2x 2x 2x 17

689:13x 53

139:139

610:2x 5x 61

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 1342732405040/(1x26)

LCM = 1342732405040/26

LCM = 51643554040

Thus, we can understand that the LCM of 169,136,689,139,610 is 51643554040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 136, 689, 139, 610

1. What is the LCM of 169, 136, 689, 139, 610?

Answer: LCM of 169, 136, 689, 139, 610 is 51643554040.

2. How to calculate the LCM of 169, 136, 689, 139, 610?

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, 136, 689, 139, 610.

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}.