LCM of 852, 972, 340, 493, 701
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 972, 340, 493, 701 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 852, 972, 340, 493, 701. So, keep reading to learn more.
Given numbers are 852,972,340,493,701
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,972,340,493,701 is 119250320580.
Find LCM of 852,972,340,493,701 with Prime Factorization
| 2 | 852, 972, 340, 493, 701 |
| 2 | 426, 486, 170, 493, 701 |
| 3 | 213, 243, 85, 493, 701 |
| 17 | 71, 81, 85, 493, 701 |
| 71, 81, 5, 29, 701 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 71 x 81 x 5 x 29 x 701 = 119250320580
Therefore, the lowest common multiple of 852,972,340,493,701 is 119250320580.
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.
852 x 972 x 340 x 493 x 701 = 97308261593280
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
493 : 1, 17, 29, 493
701 : 1, 701
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,972,340,493,701, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
972:2x 2x 3x 3x 3x 3x 3
340:2x 2x 5x 17
493:17x 29
701:701
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 2x 2x 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 97308261593280/(1x816)
LCM = 97308261593280/816
LCM = 119250320580
Thus, we can understand that the LCM of 852,972,340,493,701 is 119250320580.
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FAQs on LCM of 852, 972, 340, 493, 701
1. What is the LCM of 852, 972, 340, 493, 701?
Answer: LCM of 852, 972, 340, 493, 701 is 119250320580.
2. How to calculate the LCM of 852, 972, 340, 493, 701?
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 852, 972, 340, 493, 701.
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}.