LCM of 630, 791, 560, 256, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 791, 560, 256, 357 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 630, 791, 560, 256, 357. So, keep reading to learn more.
Given numbers are 630,791,560,256,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,791,560,256,357 is 154909440.
Find LCM of 630,791,560,256,357 with Prime Factorization
| 2 | 630, 791, 560, 256, 357 |
| 2 | 315, 791, 280, 128, 357 |
| 2 | 315, 791, 140, 64, 357 |
| 2 | 315, 791, 70, 32, 357 |
| 3 | 315, 791, 35, 16, 357 |
| 5 | 105, 791, 35, 16, 119 |
| 7 | 21, 791, 7, 16, 119 |
| 3, 113, 1, 16, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 3 x 113 x 1 x 16 x 17 = 154909440
Therefore, the lowest common multiple of 630,791,560,256,357 is 154909440.
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.
630 x 791 x 560 x 256 x 357 = 25504290201600
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
791 : 1, 7, 113, 791
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,791,560,256,357, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
791:7x 113
560:2x 2x 2x 2x 5x 7
256:2x 2x 2x 2x 2x 2x 2x 2
357:3x 7x 17
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 5x 7x 7x 7 = 164640
Therefore, the value for common factors is 164640.
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 = 25504290201600/(1x164640)
LCM = 25504290201600/164640
LCM = 154909440
Thus, we can understand that the LCM of 630,791,560,256,357 is 154909440.
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FAQs on LCM of 630, 791, 560, 256, 357
1. What is the LCM of 630, 791, 560, 256, 357?
Answer: LCM of 630, 791, 560, 256, 357 is 154909440.
2. How to calculate the LCM of 630, 791, 560, 256, 357?
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 630, 791, 560, 256, 357.
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}.