Find the LCM of 972, 232, 251, 861, 802 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 972, 232, 251, 861, 802. So, keep reading to learn more.
Given numbers are 972,232,251,861,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,232,251,861,802 is 1628524322712.
Find LCM of 972,232,251,861,802 with Prime Factorization
2 | 972, 232, 251, 861, 802 |
2 | 486, 116, 251, 861, 401 |
3 | 243, 58, 251, 861, 401 |
81, 58, 251, 287, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 81 x 58 x 251 x 287 x 401 = 1628524322712
Therefore, the lowest common multiple of 972,232,251,861,802 is 1628524322712.
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.
972 x 232 x 251 x 861 x 802 = 39084583745088
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
232 : 1, 2, 4, 8, 29, 58, 116, 232
251 : 1, 251
861 : 1, 3, 7, 21, 41, 123, 287, 861
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,232,251,861,802, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
232:2x 2x 2x 29
251:251
861:3x 7x 41
802:2x 401
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 3 = 24
Therefore, the value for common factors is 24.
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 = 39084583745088/(1x24)
LCM = 39084583745088/24
LCM = 1628524322712
Thus, we can understand that the LCM of 972,232,251,861,802 is 1628524322712.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 232, 251, 861, 802?
Answer: LCM of 972, 232, 251, 861, 802 is 1628524322712.
2. How to calculate the LCM of 972, 232, 251, 861, 802?
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 972, 232, 251, 861, 802.
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}.