LCM of 1490, 5780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 1490, 5780 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 1490, 5780. So, keep reading to learn more.
Given numbers are 1490,5780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 1490,5780 is 861220.
Find LCM of 1490,5780 with Prime Factorization
| 2 | 1490, 5780 |
| 5 | 745, 2890 |
| 149, 578 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 149 x 578 = 861220
Therefore, the lowest common multiple of 1490,5780 is 861220.
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.
1490 x 5780 = 8612200
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.
1490 : 1, 2, 5, 10, 149, 298, 745, 1490
5780 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1490,5780, is 10.
Now, the common factors can be found like this.
1490:2x 5x 149
5780:2x 2x 5x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 8612200/(10x1)
LCM = 8612200/10
LCM = 861220
Thus, we can understand that the LCM of 1490,5780 is 861220.
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FAQs on LCM of 1490, 5780
1. What is the LCM of 1490, 5780?
Answer: LCM of 1490, 5780 is 861220.
2. How to calculate the LCM of 1490, 5780?
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 1490, 5780.
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}.