LCM of 482, 918, 759, 220, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 918, 759, 220, 387 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 482, 918, 759, 220, 387. So, keep reading to learn more.
Given numbers are 482,918,759,220,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,918,759,220,387 is 24068482020.
Find LCM of 482,918,759,220,387 with Prime Factorization
| 2 | 482, 918, 759, 220, 387 |
| 3 | 241, 459, 759, 110, 387 |
| 3 | 241, 153, 253, 110, 129 |
| 11 | 241, 51, 253, 110, 43 |
| 241, 51, 23, 10, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 241 x 51 x 23 x 10 x 43 = 24068482020
Therefore, the lowest common multiple of 482,918,759,220,387 is 24068482020.
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.
482 x 918 x 759 x 220 x 387 = 28593356639760
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.
482 : 1, 2, 241, 482
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
759 : 1, 3, 11, 23, 33, 69, 253, 759
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,918,759,220,387, is 1.
Now, the common factors can be found like this.
482:2x 241
918:2x 3x 3x 3x 17
759:3x 11x 23
220:2x 2x 5x 11
387:3x 3x 43
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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 28593356639760/(1x1188)
LCM = 28593356639760/1188
LCM = 24068482020
Thus, we can understand that the LCM of 482,918,759,220,387 is 24068482020.
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FAQs on LCM of 482, 918, 759, 220, 387
1. What is the LCM of 482, 918, 759, 220, 387?
Answer: LCM of 482, 918, 759, 220, 387 is 24068482020.
2. How to calculate the LCM of 482, 918, 759, 220, 387?
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 482, 918, 759, 220, 387.
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}.