LCM of 936, 153, 585, 346, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 153, 585, 346, 120 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 936, 153, 585, 346, 120. So, keep reading to learn more.
Given numbers are 936,153,585,346,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,153,585,346,120 is 13763880.
Find LCM of 936,153,585,346,120 with Prime Factorization
| 2 | 936, 153, 585, 346, 120 |
| 2 | 468, 153, 585, 173, 60 |
| 2 | 234, 153, 585, 173, 30 |
| 3 | 117, 153, 585, 173, 15 |
| 3 | 39, 51, 195, 173, 5 |
| 5 | 13, 17, 65, 173, 5 |
| 13 | 13, 17, 13, 173, 1 |
| 1, 17, 1, 173, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 13 x 1 x 17 x 1 x 173 x 1 = 13763880
Therefore, the lowest common multiple of 936,153,585,346,120 is 13763880.
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.
936 x 153 x 585 x 346 x 120 = 3478407753600
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
153 : 1, 3, 9, 17, 51, 153
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
346 : 1, 2, 173, 346
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,153,585,346,120, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
153:3x 3x 17
585:3x 3x 5x 13
346:2x 173
120:2x 2x 2x 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 2x 3x 3x 3x 3x 3x 5x 13 = 252720
Therefore, the value for common factors is 252720.
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 = 3478407753600/(1x252720)
LCM = 3478407753600/252720
LCM = 13763880
Thus, we can understand that the LCM of 936,153,585,346,120 is 13763880.
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FAQs on LCM of 936, 153, 585, 346, 120
1. What is the LCM of 936, 153, 585, 346, 120?
Answer: LCM of 936, 153, 585, 346, 120 is 13763880.
2. How to calculate the LCM of 936, 153, 585, 346, 120?
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 936, 153, 585, 346, 120.
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}.