LCM of 372, 589, 931, 141, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 589, 931, 141, 960 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, 589, 931, 141, 960. So, keep reading to learn more.
Given numbers are 372,589,931,141,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,589,931,141,960 is 1302208320.
Find LCM of 372,589,931,141,960 with Prime Factorization
| 2 | 372, 589, 931, 141, 960 |
| 2 | 186, 589, 931, 141, 480 |
| 3 | 93, 589, 931, 141, 240 |
| 19 | 31, 589, 931, 47, 80 |
| 31 | 31, 31, 49, 47, 80 |
| 1, 1, 49, 47, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 31 x 1 x 1 x 49 x 47 x 80 = 1302208320
Therefore, the lowest common multiple of 372,589,931,141,960 is 1302208320.
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 589 x 931 x 141 x 960 = 27612025217280
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
589 : 1, 19, 31, 589
931 : 1, 7, 19, 49, 133, 931
141 : 1, 3, 47, 141
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,589,931,141,960, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
589:19x 31
931:7x 7x 19
141:3x 47
960:2x 2x 2x 2x 2x 2x 3x 5
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 3x 3x 19x 31 = 21204
Therefore, the value for common factors is 21204.
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 = 27612025217280/(1x21204)
LCM = 27612025217280/21204
LCM = 1302208320
Thus, we can understand that the LCM of 372,589,931,141,960 is 1302208320.
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FAQs on LCM of 372, 589, 931, 141, 960
1. What is the LCM of 372, 589, 931, 141, 960?
Answer: LCM of 372, 589, 931, 141, 960 is 1302208320.
2. How to calculate the LCM of 372, 589, 931, 141, 960?
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, 589, 931, 141, 960.
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}.