LCM of 219, 680, 876, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 219, 680, 876, 545 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 219, 680, 876, 545. So, keep reading to learn more.
Given numbers are 219,680,876,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 219,680,876,545 is 16232280.
Find LCM of 219,680,876,545 with Prime Factorization
| 2 | 219, 680, 876, 545 |
| 2 | 219, 340, 438, 545 |
| 3 | 219, 170, 219, 545 |
| 5 | 73, 170, 73, 545 |
| 73 | 73, 34, 73, 109 |
| 1, 34, 1, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 73 x 1 x 34 x 1 x 109 = 16232280
Therefore, the lowest common multiple of 219,680,876,545 is 16232280.
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.
219 x 680 x 876 x 545 = 71097386400
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.
219 : 1, 3, 73, 219
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,680,876,545, is 1.
Now, the common factors can be found like this.
219:3x 73
680:2x 2x 2x 5x 17
876:2x 2x 3x 73
545:5x 109
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 5x 73 = 4380
Therefore, the value for common factors is 4380.
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 = 71097386400/(1x4380)
LCM = 71097386400/4380
LCM = 16232280
Thus, we can understand that the LCM of 219,680,876,545 is 16232280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 219, 680, 876, 545
1. What is the LCM of 219, 680, 876, 545?
Answer: LCM of 219, 680, 876, 545 is 16232280.
2. How to calculate the LCM of 219, 680, 876, 545?
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 219, 680, 876, 545.
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}.