LCM of 918, 169, 156, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 918, 169, 156, 360 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 918, 169, 156, 360. So, keep reading to learn more.
Given numbers are 918,169,156,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,169,156,360 is 3102840.
Find LCM of 918,169,156,360 with Prime Factorization
| 2 | 918, 169, 156, 360 |
| 2 | 459, 169, 78, 180 |
| 3 | 459, 169, 39, 90 |
| 3 | 153, 169, 13, 30 |
| 13 | 51, 169, 13, 10 |
| 51, 1, 13, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 51 x 1 x 13 x 10 = 3102840
Therefore, the lowest common multiple of 918,169,156,360 is 3102840.
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.
918 x 169 x 156 x 360 = 8712774720
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
169 : 1, 13, 169
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,169,156,360, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
169:13x 13
156:2x 2x 3x 13
360:2x 2x 2x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 3x 13 = 2808
Therefore, the value for common factors is 2808.
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 = 8712774720/(1x2808)
LCM = 8712774720/2808
LCM = 3102840
Thus, we can understand that the LCM of 918,169,156,360 is 3102840.
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FAQs on LCM of 918, 169, 156, 360
1. What is the LCM of 918, 169, 156, 360?
Answer: LCM of 918, 169, 156, 360 is 3102840.
2. How to calculate the LCM of 918, 169, 156, 360?
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 918, 169, 156, 360.
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}.