LCM of 244, 551, 735, 960, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 244, 551, 735, 960, 420 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 244, 551, 735, 960, 420. So, keep reading to learn more.
Given numbers are 244,551,735,960,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,551,735,960,420 is 1581061440.
Find LCM of 244,551,735,960,420 with Prime Factorization
| 2 | 244, 551, 735, 960, 420 |
| 2 | 122, 551, 735, 480, 210 |
| 3 | 61, 551, 735, 240, 105 |
| 5 | 61, 551, 245, 80, 35 |
| 7 | 61, 551, 49, 16, 7 |
| 61, 551, 1, 16, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 61 x 551 x 1 x 16 x 7 = 1581061440
Therefore, the lowest common multiple of 244,551,735,960,420 is 1581061440.
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.
244 x 551 x 735 x 960 x 420 = 39842748288000
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.
244 : 1, 2, 4, 61, 122, 244
551 : 1, 19, 29, 551
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,551,735,960,420, is 1.
Now, the common factors can be found like this.
244:2x 2x 61
551:19x 29
735:3x 5x 7x 7
960:2x 2x 2x 2x 2x 2x 3x 5
420:2x 2x 3x 5x 7
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 5x 5x 7 = 25200
Therefore, the value for common factors is 25200.
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 = 39842748288000/(1x25200)
LCM = 39842748288000/25200
LCM = 1581061440
Thus, we can understand that the LCM of 244,551,735,960,420 is 1581061440.
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FAQs on LCM of 244, 551, 735, 960, 420
1. What is the LCM of 244, 551, 735, 960, 420?
Answer: LCM of 244, 551, 735, 960, 420 is 1581061440.
2. How to calculate the LCM of 244, 551, 735, 960, 420?
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 244, 551, 735, 960, 420.
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}.