LCM of 650, 459, 139, 873, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 459, 139, 873, 378 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 650, 459, 139, 873, 378. So, keep reading to learn more.
Given numbers are 650,459,139,873,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,459,139,873,378 is 28158571350.
Find LCM of 650,459,139,873,378 with Prime Factorization
| 2 | 650, 459, 139, 873, 378 |
| 3 | 325, 459, 139, 873, 189 |
| 3 | 325, 153, 139, 291, 63 |
| 3 | 325, 51, 139, 97, 21 |
| 325, 17, 139, 97, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 325 x 17 x 139 x 97 x 7 = 28158571350
Therefore, the lowest common multiple of 650,459,139,873,378 is 28158571350.
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.
650 x 459 x 139 x 873 x 378 = 13685065676100
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
459 : 1, 3, 9, 17, 27, 51, 153, 459
139 : 1, 139
873 : 1, 3, 9, 97, 291, 873
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,459,139,873,378, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
459:3x 3x 3x 17
139:139
873:3x 3x 97
378:2x 3x 3x 3x 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 3x 3x 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 13685065676100/(1x486)
LCM = 13685065676100/486
LCM = 28158571350
Thus, we can understand that the LCM of 650,459,139,873,378 is 28158571350.
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FAQs on LCM of 650, 459, 139, 873, 378
1. What is the LCM of 650, 459, 139, 873, 378?
Answer: LCM of 650, 459, 139, 873, 378 is 28158571350.
2. How to calculate the LCM of 650, 459, 139, 873, 378?
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 650, 459, 139, 873, 378.
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}.