LCM of 851, 696, 747, 655, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 696, 747, 655, 972 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 851, 696, 747, 655, 972. So, keep reading to learn more.
Given numbers are 851,696,747,655,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,696,747,655,972 is 2608213935240.
Find LCM of 851,696,747,655,972 with Prime Factorization
| 2 | 851, 696, 747, 655, 972 |
| 2 | 851, 348, 747, 655, 486 |
| 3 | 851, 174, 747, 655, 243 |
| 3 | 851, 58, 249, 655, 81 |
| 851, 58, 83, 655, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 851 x 58 x 83 x 655 x 27 = 2608213935240
Therefore, the lowest common multiple of 851,696,747,655,972 is 2608213935240.
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.
851 x 696 x 747 x 655 x 972 = 281687105005920
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.
851 : 1, 23, 37, 851
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
747 : 1, 3, 9, 83, 249, 747
655 : 1, 5, 131, 655
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,696,747,655,972, is 1.
Now, the common factors can be found like this.
851:23x 37
696:2x 2x 2x 3x 29
747:3x 3x 83
655:5x 131
972:2x 2x 3x 3x 3x 3x 3
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 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 281687105005920/(1x108)
LCM = 281687105005920/108
LCM = 2608213935240
Thus, we can understand that the LCM of 851,696,747,655,972 is 2608213935240.
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FAQs on LCM of 851, 696, 747, 655, 972
1. What is the LCM of 851, 696, 747, 655, 972?
Answer: LCM of 851, 696, 747, 655, 972 is 2608213935240.
2. How to calculate the LCM of 851, 696, 747, 655, 972?
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 851, 696, 747, 655, 972.
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}.