LCM of 452, 642, 531, 472, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 452, 642, 531, 472, 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 452, 642, 531, 472, 972. So, keep reading to learn more.
Given numbers are 452,642,531,472,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,642,531,472,972 is 1386789336.
Find LCM of 452,642,531,472,972 with Prime Factorization
| 2 | 452, 642, 531, 472, 972 |
| 2 | 226, 321, 531, 236, 486 |
| 3 | 113, 321, 531, 118, 243 |
| 3 | 113, 107, 177, 118, 81 |
| 59 | 113, 107, 59, 118, 27 |
| 113, 107, 1, 2, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 59 x 113 x 107 x 1 x 2 x 27 = 1386789336
Therefore, the lowest common multiple of 452,642,531,472,972 is 1386789336.
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.
452 x 642 x 531 x 472 x 972 = 70692973191936
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.
452 : 1, 2, 4, 113, 226, 452
642 : 1, 2, 3, 6, 107, 214, 321, 642
531 : 1, 3, 9, 59, 177, 531
472 : 1, 2, 4, 8, 59, 118, 236, 472
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 452,642,531,472,972, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
642:2x 3x 107
531:3x 3x 59
472:2x 2x 2x 59
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 2x 2x 2x 3x 3x 3x 59 = 50976
Therefore, the value for common factors is 50976.
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 = 70692973191936/(1x50976)
LCM = 70692973191936/50976
LCM = 1386789336
Thus, we can understand that the LCM of 452,642,531,472,972 is 1386789336.
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FAQs on LCM of 452, 642, 531, 472, 972
1. What is the LCM of 452, 642, 531, 472, 972?
Answer: LCM of 452, 642, 531, 472, 972 is 1386789336.
2. How to calculate the LCM of 452, 642, 531, 472, 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 452, 642, 531, 472, 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}.