LCM of 669, 114, 746, 440, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 114, 746, 440, 384 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 669, 114, 746, 440, 384. So, keep reading to learn more.
Given numbers are 669,114,746,440,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,114,746,440,384 is 33378069120.
Find LCM of 669,114,746,440,384 with Prime Factorization
| 2 | 669, 114, 746, 440, 384 |
| 2 | 669, 57, 373, 220, 192 |
| 2 | 669, 57, 373, 110, 96 |
| 3 | 669, 57, 373, 55, 48 |
| 223, 19, 373, 55, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 223 x 19 x 373 x 55 x 16 = 33378069120
Therefore, the lowest common multiple of 669,114,746,440,384 is 33378069120.
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.
669 x 114 x 746 x 440 x 384 = 9612883906560
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.
669 : 1, 3, 223, 669
114 : 1, 2, 3, 6, 19, 38, 57, 114
746 : 1, 2, 373, 746
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,114,746,440,384, is 1.
Now, the common factors can be found like this.
669:3x 223
114:2x 3x 19
746:2x 373
440:2x 2x 2x 5x 11
384:2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 9612883906560/(1x288)
LCM = 9612883906560/288
LCM = 33378069120
Thus, we can understand that the LCM of 669,114,746,440,384 is 33378069120.
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FAQs on LCM of 669, 114, 746, 440, 384
1. What is the LCM of 669, 114, 746, 440, 384?
Answer: LCM of 669, 114, 746, 440, 384 is 33378069120.
2. How to calculate the LCM of 669, 114, 746, 440, 384?
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 669, 114, 746, 440, 384.
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}.