LCM of 169, 690, 895, 690, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 690, 895, 690, 105 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, 690, 895, 690, 105. So, keep reading to learn more.
Given numbers are 169,690,895,690,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,690,895,690,105 is 146112330.
Find LCM of 169,690,895,690,105 with Prime Factorization
| 2 | 169, 690, 895, 690, 105 |
| 3 | 169, 345, 895, 345, 105 |
| 5 | 169, 115, 895, 115, 35 |
| 23 | 169, 23, 179, 23, 7 |
| 169, 1, 179, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 169 x 1 x 179 x 1 x 7 = 146112330
Therefore, the lowest common multiple of 169,690,895,690,105 is 146112330.
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 690 x 895 x 690 x 105 = 7561313077500
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
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
895 : 1, 5, 179, 895
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,690,895,690,105, is 1.
Now, the common factors can be found like this.
169:13x 13
690:2x 3x 5x 23
895:5x 179
690:2x 3x 5x 23
105:3x 5x 7
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 3x 5x 5x 5x 23 = 51750
Therefore, the value for common factors is 51750.
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 = 7561313077500/(1x51750)
LCM = 7561313077500/51750
LCM = 146112330
Thus, we can understand that the LCM of 169,690,895,690,105 is 146112330.
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FAQs on LCM of 169, 690, 895, 690, 105
1. What is the LCM of 169, 690, 895, 690, 105?
Answer: LCM of 169, 690, 895, 690, 105 is 146112330.
2. How to calculate the LCM of 169, 690, 895, 690, 105?
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, 690, 895, 690, 105.
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}.