LCM of 697, 814, 972, 729, 145
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 814, 972, 729, 145 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 697, 814, 972, 729, 145. So, keep reading to learn more.
Given numbers are 697,814,972,729,145
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,814,972,729,145 is 119945154780.
Find LCM of 697,814,972,729,145 with Prime Factorization
| 2 | 697, 814, 972, 729, 145 |
| 3 | 697, 407, 486, 729, 145 |
| 3 | 697, 407, 162, 243, 145 |
| 3 | 697, 407, 54, 81, 145 |
| 3 | 697, 407, 18, 27, 145 |
| 3 | 697, 407, 6, 9, 145 |
| 697, 407, 2, 3, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 3 x 697 x 407 x 2 x 3 x 145 = 119945154780
Therefore, the lowest common multiple of 697,814,972,729,145 is 119945154780.
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.
697 x 814 x 972 x 729 x 145 = 58293345223080
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.
697 : 1, 17, 41, 697
814 : 1, 2, 11, 22, 37, 74, 407, 814
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
729 : 1, 3, 9, 27, 81, 243, 729
145 : 1, 5, 29, 145
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,814,972,729,145, is 1.
Now, the common factors can be found like this.
697:17x 41
814:2x 11x 37
972:2x 2x 3x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
145:5x 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 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 = 58293345223080/(1x486)
LCM = 58293345223080/486
LCM = 119945154780
Thus, we can understand that the LCM of 697,814,972,729,145 is 119945154780.
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FAQs on LCM of 697, 814, 972, 729, 145
1. What is the LCM of 697, 814, 972, 729, 145?
Answer: LCM of 697, 814, 972, 729, 145 is 119945154780.
2. How to calculate the LCM of 697, 814, 972, 729, 145?
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 697, 814, 972, 729, 145.
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}.