LCM of 637, 858, 960, 852, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 858, 960, 852, 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 637, 858, 960, 852, 420. So, keep reading to learn more.
Given numbers are 637,858,960,852,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,858,960,852,420 is 477597120.
Find LCM of 637,858,960,852,420 with Prime Factorization
| 2 | 637, 858, 960, 852, 420 |
| 2 | 637, 429, 480, 426, 210 |
| 3 | 637, 429, 240, 213, 105 |
| 5 | 637, 143, 80, 71, 35 |
| 7 | 637, 143, 16, 71, 7 |
| 13 | 91, 143, 16, 71, 1 |
| 7, 11, 16, 71, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 13 x 7 x 11 x 16 x 71 x 1 = 477597120
Therefore, the lowest common multiple of 637,858,960,852,420 is 477597120.
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.
637 x 858 x 960 x 852 x 420 = 187752979814400
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.
637 : 1, 7, 13, 49, 91, 637
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
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
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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 637,858,960,852,420, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
858:2x 3x 11x 13
960:2x 2x 2x 2x 2x 2x 3x 5
852:2x 2x 3x 71
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 2x 3x 3x 3x 5x 7x 13 = 393120
Therefore, the value for common factors is 393120.
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 = 187752979814400/(1x393120)
LCM = 187752979814400/393120
LCM = 477597120
Thus, we can understand that the LCM of 637,858,960,852,420 is 477597120.
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FAQs on LCM of 637, 858, 960, 852, 420
1. What is the LCM of 637, 858, 960, 852, 420?
Answer: LCM of 637, 858, 960, 852, 420 is 477597120.
2. How to calculate the LCM of 637, 858, 960, 852, 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 637, 858, 960, 852, 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}.