LCM of 153, 774, 989, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 774, 989, 460 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 153, 774, 989, 460. So, keep reading to learn more.
Given numbers are 153,774,989,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,774,989,460 is 3026340.
Find LCM of 153,774,989,460 with Prime Factorization
| 2 | 153, 774, 989, 460 |
| 3 | 153, 387, 989, 230 |
| 3 | 51, 129, 989, 230 |
| 23 | 17, 43, 989, 230 |
| 43 | 17, 43, 43, 10 |
| 17, 1, 1, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 43 x 17 x 1 x 1 x 10 = 3026340
Therefore, the lowest common multiple of 153,774,989,460 is 3026340.
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.
153 x 774 x 989 x 460 = 53874904680
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.
153 : 1, 3, 9, 17, 51, 153
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
989 : 1, 23, 43, 989
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,774,989,460, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
774:2x 3x 3x 43
989:23x 43
460:2x 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 3x 3x 23x 43 = 17802
Therefore, the value for common factors is 17802.
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 = 53874904680/(1x17802)
LCM = 53874904680/17802
LCM = 3026340
Thus, we can understand that the LCM of 153,774,989,460 is 3026340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 153, 774, 989, 460
1. What is the LCM of 153, 774, 989, 460?
Answer: LCM of 153, 774, 989, 460 is 3026340.
2. How to calculate the LCM of 153, 774, 989, 460?
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 153, 774, 989, 460.
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}.