LCM of 723, 806, 527, 602, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 806, 527, 602, 316 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, 806, 527, 602, 316. So, keep reading to learn more.
Given numbers are 723,806,527,602,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,806,527,602,316 is 471135514668.
Find LCM of 723,806,527,602,316 with Prime Factorization
| 2 | 723, 806, 527, 602, 316 |
| 31 | 723, 403, 527, 301, 158 |
| 723, 13, 17, 301, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 723 x 13 x 17 x 301 x 158 = 471135514668
Therefore, the lowest common multiple of 723,806,527,602,316 is 471135514668.
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 806 x 527 x 602 x 316 = 58420803818832
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
527 : 1, 17, 31, 527
602 : 1, 2, 7, 14, 43, 86, 301, 602
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,806,527,602,316, is 1.
Now, the common factors can be found like this.
723:3x 241
806:2x 13x 31
527:17x 31
602:2x 7x 43
316:2x 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 31 = 124
Therefore, the value for common factors is 124.
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 = 58420803818832/(1x124)
LCM = 58420803818832/124
LCM = 471135514668
Thus, we can understand that the LCM of 723,806,527,602,316 is 471135514668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 806, 527, 602, 316
1. What is the LCM of 723, 806, 527, 602, 316?
Answer: LCM of 723, 806, 527, 602, 316 is 471135514668.
2. How to calculate the LCM of 723, 806, 527, 602, 316?
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, 806, 527, 602, 316.
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}.