LCM of 723, 524, 160, 645, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 524, 160, 645, 901 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 723, 524, 160, 645, 901. So, keep reading to learn more.
Given numbers are 723,524,160,645,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,524,160,645,901 is 587114521440.
Find LCM of 723,524,160,645,901 with Prime Factorization
| 2 | 723, 524, 160, 645, 901 |
| 2 | 723, 262, 80, 645, 901 |
| 3 | 723, 131, 40, 645, 901 |
| 5 | 241, 131, 40, 215, 901 |
| 241, 131, 8, 43, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 131 x 8 x 43 x 901 = 587114521440
Therefore, the lowest common multiple of 723,524,160,645,901 is 587114521440.
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.
723 x 524 x 160 x 645 x 901 = 35226871286400
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.
723 : 1, 3, 241, 723
524 : 1, 2, 4, 131, 262, 524
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
645 : 1, 3, 5, 15, 43, 129, 215, 645
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,524,160,645,901, is 1.
Now, the common factors can be found like this.
723:3x 241
524:2x 2x 131
160:2x 2x 2x 2x 2x 5
645:3x 5x 43
901:17x 53
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 5 = 60
Therefore, the value for common factors is 60.
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 = 35226871286400/(1x60)
LCM = 35226871286400/60
LCM = 587114521440
Thus, we can understand that the LCM of 723,524,160,645,901 is 587114521440.
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FAQs on LCM of 723, 524, 160, 645, 901
1. What is the LCM of 723, 524, 160, 645, 901?
Answer: LCM of 723, 524, 160, 645, 901 is 587114521440.
2. How to calculate the LCM of 723, 524, 160, 645, 901?
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 723, 524, 160, 645, 901.
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}.