Find the LCM of 420, 430, 720, 965, 741 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 420, 430, 720, 965, 741. So, keep reading to learn more.
Given numbers are 420,430,720,965,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,430,720,965,741 is 10331259120.
Find LCM of 420,430,720,965,741 with Prime Factorization
2 | 420, 430, 720, 965, 741 |
2 | 210, 215, 360, 965, 741 |
3 | 105, 215, 180, 965, 741 |
5 | 35, 215, 60, 965, 247 |
7, 43, 12, 193, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 43 x 12 x 193 x 247 = 10331259120
Therefore, the lowest common multiple of 420,430,720,965,741 is 10331259120.
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.
420 x 430 x 720 x 965 x 741 = 92981332080000
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
430 : 1, 2, 5, 10, 43, 86, 215, 430
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
965 : 1, 5, 193, 965
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,430,720,965,741, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
430:2x 5x 43
720:2x 2x 2x 2x 3x 3x 5
965:5x 193
741:3x 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 3x 3x 5x 5x 5 = 9000
Therefore, the value for common factors is 9000.
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 = 92981332080000/(1x9000)
LCM = 92981332080000/9000
LCM = 10331259120
Thus, we can understand that the LCM of 420,430,720,965,741 is 10331259120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 430, 720, 965, 741?
Answer: LCM of 420, 430, 720, 965, 741 is 10331259120.
2. How to calculate the LCM of 420, 430, 720, 965, 741?
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 420, 430, 720, 965, 741.
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}.