Find the LCM of 372, 153, 881, 527, 643 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 372, 153, 881, 527, 643. So, keep reading to learn more.
Given numbers are 372,153,881,527,643
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,153,881,527,643 is 10747315476.
Find LCM of 372,153,881,527,643 with Prime Factorization
3 | 372, 153, 881, 527, 643 |
17 | 124, 51, 881, 527, 643 |
31 | 124, 3, 881, 31, 643 |
4, 3, 881, 1, 643 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 31 x 4 x 3 x 881 x 1 x 643 = 10747315476
Therefore, the lowest common multiple of 372,153,881,527,643 is 10747315476.
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.
372 x 153 x 881 x 527 x 643 = 16991505767556
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
153 : 1, 3, 9, 17, 51, 153
881 : 1, 881
527 : 1, 17, 31, 527
643 : 1, 643
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,153,881,527,643, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
153:3x 3x 17
881:881
527:17x 31
643:643
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 31 = 1581
Therefore, the value for common factors is 1581.
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 = 16991505767556/(1x1581)
LCM = 16991505767556/1581
LCM = 10747315476
Thus, we can understand that the LCM of 372,153,881,527,643 is 10747315476.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 372, 153, 881, 527, 643?
Answer: LCM of 372, 153, 881, 527, 643 is 10747315476.
2. How to calculate the LCM of 372, 153, 881, 527, 643?
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 372, 153, 881, 527, 643.
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}.