Find the LCM of 972, 173, 361, 690, 520 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, 173, 361, 690, 520. So, keep reading to learn more.
Given numbers are 972,173,361,690,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,173,361,690,520 is 181505904840.
Find LCM of 972,173,361,690,520 with Prime Factorization
2 | 972, 173, 361, 690, 520 |
2 | 486, 173, 361, 345, 260 |
3 | 243, 173, 361, 345, 130 |
5 | 81, 173, 361, 115, 130 |
81, 173, 361, 23, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 81 x 173 x 361 x 23 x 26 = 181505904840
Therefore, the lowest common multiple of 972,173,361,690,520 is 181505904840.
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 173 x 361 x 690 x 520 = 21780708580800
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
173 : 1, 173
361 : 1, 19, 361
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,173,361,690,520, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
173:173
361:19x 19
690:2x 3x 5x 23
520:2x 2x 2x 5x 13
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 21780708580800/(1x120)
LCM = 21780708580800/120
LCM = 181505904840
Thus, we can understand that the LCM of 972,173,361,690,520 is 181505904840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 173, 361, 690, 520?
Answer: LCM of 972, 173, 361, 690, 520 is 181505904840.
2. How to calculate the LCM of 972, 173, 361, 690, 520?
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, 173, 361, 690, 520.
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}.