LCM of 178, 648, 120, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 648, 120, 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 178, 648, 120, 972. So, keep reading to learn more.
Given numbers are 178,648,120,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,648,120,972 is 865080.
Find LCM of 178,648,120,972 with Prime Factorization
| 2 | 178, 648, 120, 972 |
| 2 | 89, 324, 60, 486 |
| 2 | 89, 162, 30, 243 |
| 3 | 89, 81, 15, 243 |
| 3 | 89, 27, 5, 81 |
| 3 | 89, 9, 5, 27 |
| 3 | 89, 3, 5, 9 |
| 89, 1, 5, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 89 x 1 x 5 x 3 = 865080
Therefore, the lowest common multiple of 178,648,120,972 is 865080.
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.
178 x 648 x 120 x 972 = 13453724160
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.
178 : 1, 2, 89, 178
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,648,120,972, is 2.
Now, the common factors can be found like this.
178:2x 89
648:2x 2x 2x 3x 3x 3x 3
120:2x 2x 2x 3x 5
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 3x 3 = 7776
Therefore, the value for common factors is 7776.
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 = 13453724160/(2x7776)
LCM = 13453724160/15552
LCM = 865080
Thus, we can understand that the LCM of 178,648,120,972 is 865080.
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FAQs on LCM of 178, 648, 120, 972
1. What is the LCM of 178, 648, 120, 972?
Answer: LCM of 178, 648, 120, 972 is 865080.
2. How to calculate the LCM of 178, 648, 120, 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 178, 648, 120, 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}.