Find the LCM of 237, 719, 260, 624, 988 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 237, 719, 260, 624, 988. So, keep reading to learn more.
Given numbers are 237,719,260,624,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,719,260,624,988 is 3367163280.
Find LCM of 237,719,260,624,988 with Prime Factorization
2 | 237, 719, 260, 624, 988 |
2 | 237, 719, 130, 312, 494 |
3 | 237, 719, 65, 156, 247 |
13 | 79, 719, 65, 52, 247 |
79, 719, 5, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 79 x 719 x 5 x 4 x 19 = 3367163280
Therefore, the lowest common multiple of 237,719,260,624,988 is 3367163280.
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.
237 x 719 x 260 x 624 x 988 = 27314428527360
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.
237 : 1, 3, 79, 237
719 : 1, 719
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,719,260,624,988, is 1.
Now, the common factors can be found like this.
237:3x 79
719:719
260:2x 2x 5x 13
624:2x 2x 2x 2x 3x 13
988:2x 2x 13x 19
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 2x 3x 13x 13 = 8112
Therefore, the value for common factors is 8112.
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 = 27314428527360/(1x8112)
LCM = 27314428527360/8112
LCM = 3367163280
Thus, we can understand that the LCM of 237,719,260,624,988 is 3367163280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 237, 719, 260, 624, 988?
Answer: LCM of 237, 719, 260, 624, 988 is 3367163280.
2. How to calculate the LCM of 237, 719, 260, 624, 988?
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 237, 719, 260, 624, 988.
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}.