LCM of 169, 686, 945, 507, 362
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 686, 945, 507, 362 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, 686, 945, 507, 362. So, keep reading to learn more.
Given numbers are 169,686,945,507,362
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,686,945,507,362 is 2832847290.
Find LCM of 169,686,945,507,362 with Prime Factorization
| 2 | 169, 686, 945, 507, 362 |
| 3 | 169, 343, 945, 507, 181 |
| 7 | 169, 343, 315, 169, 181 |
| 13 | 169, 49, 45, 169, 181 |
| 13 | 13, 49, 45, 13, 181 |
| 1, 49, 45, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 13 x 1 x 49 x 45 x 1 x 181 = 2832847290
Therefore, the lowest common multiple of 169,686,945,507,362 is 2832847290.
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 686 x 945 x 507 x 362 = 20107550064420
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
686 : 1, 2, 7, 14, 49, 98, 343, 686
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
507 : 1, 3, 13, 39, 169, 507
362 : 1, 2, 181, 362
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,686,945,507,362, is 1.
Now, the common factors can be found like this.
169:13x 13
686:2x 7x 7x 7
945:3x 3x 3x 5x 7
507:3x 13x 13
362:2x 181
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 7x 13x 13 = 7098
Therefore, the value for common factors is 7098.
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 = 20107550064420/(1x7098)
LCM = 20107550064420/7098
LCM = 2832847290
Thus, we can understand that the LCM of 169,686,945,507,362 is 2832847290.
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FAQs on LCM of 169, 686, 945, 507, 362
1. What is the LCM of 169, 686, 945, 507, 362?
Answer: LCM of 169, 686, 945, 507, 362 is 2832847290.
2. How to calculate the LCM of 169, 686, 945, 507, 362?
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, 686, 945, 507, 362.
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}.