LCM of 314, 980, 804, 153, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 980, 804, 153, 585 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 314, 980, 804, 153, 585. So, keep reading to learn more.
Given numbers are 314,980,804,153,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,980,804,153,585 is 20503845180.
Find LCM of 314,980,804,153,585 with Prime Factorization
| 2 | 314, 980, 804, 153, 585 |
| 2 | 157, 490, 402, 153, 585 |
| 3 | 157, 245, 201, 153, 585 |
| 3 | 157, 245, 67, 51, 195 |
| 5 | 157, 245, 67, 17, 65 |
| 157, 49, 67, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 157 x 49 x 67 x 17 x 13 = 20503845180
Therefore, the lowest common multiple of 314,980,804,153,585 is 20503845180.
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.
314 x 980 x 804 x 153 x 585 = 22144152794400
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.
314 : 1, 2, 157, 314
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
153 : 1, 3, 9, 17, 51, 153
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,980,804,153,585, is 1.
Now, the common factors can be found like this.
314:2x 157
980:2x 2x 5x 7x 7
804:2x 2x 3x 67
153:3x 3x 17
585:3x 3x 5x 13
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 22144152794400/(1x1080)
LCM = 22144152794400/1080
LCM = 20503845180
Thus, we can understand that the LCM of 314,980,804,153,585 is 20503845180.
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FAQs on LCM of 314, 980, 804, 153, 585
1. What is the LCM of 314, 980, 804, 153, 585?
Answer: LCM of 314, 980, 804, 153, 585 is 20503845180.
2. How to calculate the LCM of 314, 980, 804, 153, 585?
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 314, 980, 804, 153, 585.
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}.