LCM of 153, 323, 168, 966, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 323, 168, 966, 355 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 153, 323, 168, 966, 355. So, keep reading to learn more.
Given numbers are 153,323,168,966,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,323,168,966,355 is 1329196680.
Find LCM of 153,323,168,966,355 with Prime Factorization
| 2 | 153, 323, 168, 966, 355 |
| 3 | 153, 323, 84, 483, 355 |
| 7 | 51, 323, 28, 161, 355 |
| 17 | 51, 323, 4, 23, 355 |
| 3, 19, 4, 23, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 3 x 19 x 4 x 23 x 355 = 1329196680
Therefore, the lowest common multiple of 153,323,168,966,355 is 1329196680.
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.
153 x 323 x 168 x 966 x 355 = 2847139288560
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.
153 : 1, 3, 9, 17, 51, 153
323 : 1, 17, 19, 323
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,323,168,966,355, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
323:17x 19
168:2x 2x 2x 3x 7
966:2x 3x 7x 23
355:5x 71
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 7x 17 = 2142
Therefore, the value for common factors is 2142.
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 = 2847139288560/(1x2142)
LCM = 2847139288560/2142
LCM = 1329196680
Thus, we can understand that the LCM of 153,323,168,966,355 is 1329196680.
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FAQs on LCM of 153, 323, 168, 966, 355
1. What is the LCM of 153, 323, 168, 966, 355?
Answer: LCM of 153, 323, 168, 966, 355 is 1329196680.
2. How to calculate the LCM of 153, 323, 168, 966, 355?
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 153, 323, 168, 966, 355.
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}.