LCM of 255, 748, 638, 695, 477
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 748, 638, 695, 477 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 255, 748, 638, 695, 477. So, keep reading to learn more.
Given numbers are 255,748,638,695,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,748,638,695,477 is 7191223380.
Find LCM of 255,748,638,695,477 with Prime Factorization
| 2 | 255, 748, 638, 695, 477 |
| 3 | 255, 374, 319, 695, 477 |
| 5 | 85, 374, 319, 695, 159 |
| 11 | 17, 374, 319, 139, 159 |
| 17 | 17, 34, 29, 139, 159 |
| 1, 2, 29, 139, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 1 x 2 x 29 x 139 x 159 = 7191223380
Therefore, the lowest common multiple of 255,748,638,695,477 is 7191223380.
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.
255 x 748 x 638 x 695 x 477 = 40342763161800
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
638 : 1, 2, 11, 22, 29, 58, 319, 638
695 : 1, 5, 139, 695
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,748,638,695,477, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
748:2x 2x 11x 17
638:2x 11x 29
695:5x 139
477:3x 3x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 11x 17 = 5610
Therefore, the value for common factors is 5610.
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 = 40342763161800/(1x5610)
LCM = 40342763161800/5610
LCM = 7191223380
Thus, we can understand that the LCM of 255,748,638,695,477 is 7191223380.
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FAQs on LCM of 255, 748, 638, 695, 477
1. What is the LCM of 255, 748, 638, 695, 477?
Answer: LCM of 255, 748, 638, 695, 477 is 7191223380.
2. How to calculate the LCM of 255, 748, 638, 695, 477?
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 255, 748, 638, 695, 477.
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}.