LCM of 744, 406, 861, 493, 158
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 406, 861, 493, 158 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 744, 406, 861, 493, 158. So, keep reading to learn more.
Given numbers are 744,406,861,493,158
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,406,861,493,158 is 8316275016.
Find LCM of 744,406,861,493,158 with Prime Factorization
| 2 | 744, 406, 861, 493, 158 |
| 3 | 372, 203, 861, 493, 79 |
| 7 | 124, 203, 287, 493, 79 |
| 29 | 124, 29, 41, 493, 79 |
| 124, 1, 41, 17, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 124 x 1 x 41 x 17 x 79 = 8316275016
Therefore, the lowest common multiple of 744,406,861,493,158 is 8316275016.
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.
744 x 406 x 861 x 493 x 158 = 20258445938976
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
406 : 1, 2, 7, 14, 29, 58, 203, 406
861 : 1, 3, 7, 21, 41, 123, 287, 861
493 : 1, 17, 29, 493
158 : 1, 2, 79, 158
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,406,861,493,158, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
406:2x 7x 29
861:3x 7x 41
493:17x 29
158:2x 79
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 7x 29 = 2436
Therefore, the value for common factors is 2436.
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 = 20258445938976/(1x2436)
LCM = 20258445938976/2436
LCM = 8316275016
Thus, we can understand that the LCM of 744,406,861,493,158 is 8316275016.
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FAQs on LCM of 744, 406, 861, 493, 158
1. What is the LCM of 744, 406, 861, 493, 158?
Answer: LCM of 744, 406, 861, 493, 158 is 8316275016.
2. How to calculate the LCM of 744, 406, 861, 493, 158?
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 744, 406, 861, 493, 158.
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}.