LCM of 185, 307, 560, 980, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 185, 307, 560, 980, 968 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 185, 307, 560, 980, 968. So, keep reading to learn more.
Given numbers are 185,307,560,980,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,307,560,980,968 is 5387800880.
Find LCM of 185,307,560,980,968 with Prime Factorization
| 2 | 185, 307, 560, 980, 968 |
| 2 | 185, 307, 280, 490, 484 |
| 2 | 185, 307, 140, 245, 242 |
| 5 | 185, 307, 70, 245, 121 |
| 7 | 37, 307, 14, 49, 121 |
| 37, 307, 2, 7, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 37 x 307 x 2 x 7 x 121 = 5387800880
Therefore, the lowest common multiple of 185,307,560,980,968 is 5387800880.
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.
185 x 307 x 560 x 980 x 968 = 30171684928000
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.
185 : 1, 5, 37, 185
307 : 1, 307
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,307,560,980,968, is 1.
Now, the common factors can be found like this.
185:5x 37
307:307
560:2x 2x 2x 2x 5x 7
980:2x 2x 5x 7x 7
968:2x 2x 2x 11x 11
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 5x 5x 7 = 5600
Therefore, the value for common factors is 5600.
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 = 30171684928000/(1x5600)
LCM = 30171684928000/5600
LCM = 5387800880
Thus, we can understand that the LCM of 185,307,560,980,968 is 5387800880.
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FAQs on LCM of 185, 307, 560, 980, 968
1. What is the LCM of 185, 307, 560, 980, 968?
Answer: LCM of 185, 307, 560, 980, 968 is 5387800880.
2. How to calculate the LCM of 185, 307, 560, 980, 968?
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 185, 307, 560, 980, 968.
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}.