Find the LCM of 3140, 3124 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 3140, 3124. So, keep reading to learn more.
Given numbers are 3140,3124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 3140,3124 is 2452340.
Find LCM of 3140,3124 with Prime Factorization
| 2 | 3140, 3124 |
| 2 | 1570, 1562 |
| 785, 781 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 785 x 781 = 2452340
Therefore, the lowest common multiple of 3140,3124 is 2452340.
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.
3140 x 3124 = 9809360
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.
3140 : 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140
3124 : 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3140,3124, is 4.
Now, the common factors can be found like this.
3140:2x 2x 5x 157
3124:2x 2x 11x 71
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 = 9809360/(4x1)
LCM = 9809360/4
LCM = 2452340
Thus, we can understand that the LCM of 3140,3124 is 2452340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3140, 3124?
Answer: LCM of 3140, 3124 is 2452340.
2. How to calculate the LCM of 3140, 3124?
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 3140, 3124.
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}.