LCM of 220, 764, 312, 610, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 764, 312, 610, 230 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 220, 764, 312, 610, 230. So, keep reading to learn more.
Given numbers are 220,764,312,610,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,764,312,610,230 is 4598416680.
Find LCM of 220,764,312,610,230 with Prime Factorization
| 2 | 220, 764, 312, 610, 230 |
| 2 | 110, 382, 156, 305, 115 |
| 5 | 55, 191, 78, 305, 115 |
| 11, 191, 78, 61, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 191 x 78 x 61 x 23 = 4598416680
Therefore, the lowest common multiple of 220,764,312,610,230 is 4598416680.
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.
220 x 764 x 312 x 610 x 230 = 7357466688000
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
764 : 1, 2, 4, 191, 382, 764
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
610 : 1, 2, 5, 10, 61, 122, 305, 610
230 : 1, 2, 5, 10, 23, 46, 115, 230
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,764,312,610,230, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
764:2x 2x 191
312:2x 2x 2x 3x 13
610:2x 5x 61
230:2x 5x 23
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 5 = 800
Therefore, the value for common factors is 800.
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 = 7357466688000/(2x800)
LCM = 7357466688000/1600
LCM = 4598416680
Thus, we can understand that the LCM of 220,764,312,610,230 is 4598416680.
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FAQs on LCM of 220, 764, 312, 610, 230
1. What is the LCM of 220, 764, 312, 610, 230?
Answer: LCM of 220, 764, 312, 610, 230 is 4598416680.
2. How to calculate the LCM of 220, 764, 312, 610, 230?
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 220, 764, 312, 610, 230.
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}.