LCM of 493, 372, 406, 845, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 372, 406, 845, 696 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 493, 372, 406, 845, 696. So, keep reading to learn more.
Given numbers are 493,372,406,845,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,372,406,845,696 is 2169574680.
Find LCM of 493,372,406,845,696 with Prime Factorization
| 2 | 493, 372, 406, 845, 696 |
| 2 | 493, 186, 203, 845, 348 |
| 3 | 493, 93, 203, 845, 174 |
| 29 | 493, 31, 203, 845, 58 |
| 17, 31, 7, 845, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 17 x 31 x 7 x 845 x 2 = 2169574680
Therefore, the lowest common multiple of 493,372,406,845,696 is 2169574680.
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.
493 x 372 x 406 x 845 x 696 = 43790695341120
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.
493 : 1, 17, 29, 493
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
406 : 1, 2, 7, 14, 29, 58, 203, 406
845 : 1, 5, 13, 65, 169, 845
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,372,406,845,696, is 1.
Now, the common factors can be found like this.
493:17x 29
372:2x 2x 3x 31
406:2x 7x 29
845:5x 13x 13
696:2x 2x 2x 3x 29
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 3x 29x 29 = 20184
Therefore, the value for common factors is 20184.
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 = 43790695341120/(1x20184)
LCM = 43790695341120/20184
LCM = 2169574680
Thus, we can understand that the LCM of 493,372,406,845,696 is 2169574680.
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FAQs on LCM of 493, 372, 406, 845, 696
1. What is the LCM of 493, 372, 406, 845, 696?
Answer: LCM of 493, 372, 406, 845, 696 is 2169574680.
2. How to calculate the LCM of 493, 372, 406, 845, 696?
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 493, 372, 406, 845, 696.
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}.