LCM of 169, 910, 741, 636
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 910, 741, 636 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, 910, 741, 636. So, keep reading to learn more.
Given numbers are 169,910,741,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,910,741,636 is 71476860.
Find LCM of 169,910,741,636 with Prime Factorization
| 2 | 169, 910, 741, 636 |
| 3 | 169, 455, 741, 318 |
| 13 | 169, 455, 247, 106 |
| 13, 35, 19, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 35 x 19 x 106 = 71476860
Therefore, the lowest common multiple of 169,910,741,636 is 71476860.
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 910 x 741 x 636 = 72477536040
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
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
741 : 1, 3, 13, 19, 39, 57, 247, 741
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,910,741,636, is 1.
Now, the common factors can be found like this.
169:13x 13
910:2x 5x 7x 13
741:3x 13x 19
636:2x 2x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 72477536040/(1x1014)
LCM = 72477536040/1014
LCM = 71476860
Thus, we can understand that the LCM of 169,910,741,636 is 71476860.
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FAQs on LCM of 169, 910, 741, 636
1. What is the LCM of 169, 910, 741, 636?
Answer: LCM of 169, 910, 741, 636 is 71476860.
2. How to calculate the LCM of 169, 910, 741, 636?
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, 910, 741, 636.
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}.