LCM of 669, 185, 720, 416, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 669, 185, 720, 416, 128 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, 185, 720, 416, 128. So, keep reading to learn more.
Given numbers are 669,185,720,416,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 669,185,720,416,128 is 617834880.
Find LCM of 669,185,720,416,128 with Prime Factorization
| 2 | 669, 185, 720, 416, 128 |
| 2 | 669, 185, 360, 208, 64 |
| 2 | 669, 185, 180, 104, 32 |
| 2 | 669, 185, 90, 52, 16 |
| 2 | 669, 185, 45, 26, 8 |
| 3 | 669, 185, 45, 13, 4 |
| 5 | 223, 185, 15, 13, 4 |
| 223, 37, 3, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 223 x 37 x 3 x 13 x 4 = 617834880
Therefore, the lowest common multiple of 669,185,720,416,128 is 617834880.
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 185 x 720 x 416 x 128 = 4744971878400
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
185 : 1, 5, 37, 185
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,185,720,416,128, is 1.
Now, the common factors can be found like this.
669:3x 223
185:5x 37
720:2x 2x 2x 2x 3x 3x 5
416:2x 2x 2x 2x 2x 13
128:2x 2x 2x 2x 2x 2x 2
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 2x 2x 2x 2x 3x 5 = 7680
Therefore, the value for common factors is 7680.
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 = 4744971878400/(1x7680)
LCM = 4744971878400/7680
LCM = 617834880
Thus, we can understand that the LCM of 669,185,720,416,128 is 617834880.
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FAQs on LCM of 669, 185, 720, 416, 128
1. What is the LCM of 669, 185, 720, 416, 128?
Answer: LCM of 669, 185, 720, 416, 128 is 617834880.
2. How to calculate the LCM of 669, 185, 720, 416, 128?
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, 185, 720, 416, 128.
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}.