LCM of 369, 880, 946, 153, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 369, 880, 946, 153, 984 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 369, 880, 946, 153, 984. So, keep reading to learn more.
Given numbers are 369,880,946,153,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 369,880,946,153,984 is 237370320.
Find LCM of 369,880,946,153,984 with Prime Factorization
| 2 | 369, 880, 946, 153, 984 |
| 2 | 369, 440, 473, 153, 492 |
| 2 | 369, 220, 473, 153, 246 |
| 3 | 369, 110, 473, 153, 123 |
| 3 | 41, 110, 473, 51, 123 |
| 11 | 41, 110, 473, 17, 41 |
| 41 | 41, 10, 43, 17, 41 |
| 1, 10, 43, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 41 x 1 x 10 x 43 x 17 x 1 = 237370320
Therefore, the lowest common multiple of 369,880,946,153,984 is 237370320.
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.
369 x 880 x 946 x 153 x 984 = 46247334186240
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.
369 : 1, 3, 9, 41, 123, 369
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
946 : 1, 2, 11, 22, 43, 86, 473, 946
153 : 1, 3, 9, 17, 51, 153
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,880,946,153,984, is 1.
Now, the common factors can be found like this.
369:3x 3x 41
880:2x 2x 2x 2x 5x 11
946:2x 11x 43
153:3x 3x 17
984:2x 2x 2x 3x 41
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 11x 41 = 194832
Therefore, the value for common factors is 194832.
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 = 46247334186240/(1x194832)
LCM = 46247334186240/194832
LCM = 237370320
Thus, we can understand that the LCM of 369,880,946,153,984 is 237370320.
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FAQs on LCM of 369, 880, 946, 153, 984
1. What is the LCM of 369, 880, 946, 153, 984?
Answer: LCM of 369, 880, 946, 153, 984 is 237370320.
2. How to calculate the LCM of 369, 880, 946, 153, 984?
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 369, 880, 946, 153, 984.
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}.