LCM of 814, 378, 493, 172, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 378, 493, 172, 140 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 814, 378, 493, 172, 140. So, keep reading to learn more.
Given numbers are 814,378,493,172,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,378,493,172,140 is 32613813540.
Find LCM of 814,378,493,172,140 with Prime Factorization
| 2 | 814, 378, 493, 172, 140 |
| 2 | 407, 189, 493, 86, 70 |
| 7 | 407, 189, 493, 43, 35 |
| 407, 27, 493, 43, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 407 x 27 x 493 x 43 x 5 = 32613813540
Therefore, the lowest common multiple of 814,378,493,172,140 is 32613813540.
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.
814 x 378 x 493 x 172 x 140 = 3652747116480
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
493 : 1, 17, 29, 493
172 : 1, 2, 4, 43, 86, 172
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,378,493,172,140, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
378:2x 3x 3x 3x 7
493:17x 29
172:2x 2x 43
140:2x 2x 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 7 = 112
Therefore, the value for common factors is 112.
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 = 3652747116480/(1x112)
LCM = 3652747116480/112
LCM = 32613813540
Thus, we can understand that the LCM of 814,378,493,172,140 is 32613813540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 814, 378, 493, 172, 140
1. What is the LCM of 814, 378, 493, 172, 140?
Answer: LCM of 814, 378, 493, 172, 140 is 32613813540.
2. How to calculate the LCM of 814, 378, 493, 172, 140?
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 814, 378, 493, 172, 140.
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}.