LCM of 380, 684, 210, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 684, 210, 711 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 380, 684, 210, 711. So, keep reading to learn more.
Given numbers are 380,684,210,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,684,210,711 is 1891260.
Find LCM of 380,684,210,711 with Prime Factorization
| 2 | 380, 684, 210, 711 |
| 2 | 190, 342, 105, 711 |
| 3 | 95, 171, 105, 711 |
| 3 | 95, 57, 35, 237 |
| 5 | 95, 19, 35, 79 |
| 19 | 19, 19, 7, 79 |
| 1, 1, 7, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 1 x 1 x 7 x 79 = 1891260
Therefore, the lowest common multiple of 380,684,210,711 is 1891260.
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.
380 x 684 x 210 x 711 = 38808655200
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,684,210,711, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
684:2x 2x 3x 3x 19
210:2x 3x 5x 7
711:3x 3x 79
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 5x 19 = 20520
Therefore, the value for common factors is 20520.
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 = 38808655200/(1x20520)
LCM = 38808655200/20520
LCM = 1891260
Thus, we can understand that the LCM of 380,684,210,711 is 1891260.
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FAQs on LCM of 380, 684, 210, 711
1. What is the LCM of 380, 684, 210, 711?
Answer: LCM of 380, 684, 210, 711 is 1891260.
2. How to calculate the LCM of 380, 684, 210, 711?
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 380, 684, 210, 711.
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}.