LCM of 736, 391, 867, 972, 713
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 391, 867, 972, 713 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 736, 391, 867, 972, 713. So, keep reading to learn more.
Given numbers are 736,391,867,972,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,391,867,972,713 is 1602299232.
Find LCM of 736,391,867,972,713 with Prime Factorization
| 2 | 736, 391, 867, 972, 713 |
| 2 | 368, 391, 867, 486, 713 |
| 3 | 184, 391, 867, 243, 713 |
| 17 | 184, 391, 289, 81, 713 |
| 23 | 184, 23, 17, 81, 713 |
| 8, 1, 17, 81, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 23 x 8 x 1 x 17 x 81 x 31 = 1602299232
Therefore, the lowest common multiple of 736,391,867,972,713 is 1602299232.
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.
736 x 391 x 867 x 972 x 713 = 172913723920512
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
391 : 1, 17, 23, 391
867 : 1, 3, 17, 51, 289, 867
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,391,867,972,713, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
391:17x 23
867:3x 17x 17
972:2x 2x 3x 3x 3x 3x 3
713:23x 31
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 17x 23x 23 = 107916
Therefore, the value for common factors is 107916.
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 = 172913723920512/(1x107916)
LCM = 172913723920512/107916
LCM = 1602299232
Thus, we can understand that the LCM of 736,391,867,972,713 is 1602299232.
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FAQs on LCM of 736, 391, 867, 972, 713
1. What is the LCM of 736, 391, 867, 972, 713?
Answer: LCM of 736, 391, 867, 972, 713 is 1602299232.
2. How to calculate the LCM of 736, 391, 867, 972, 713?
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 736, 391, 867, 972, 713.
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}.