Find the LCM of 951, 630, 720, 267, 582 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 951, 630, 720, 267, 582. So, keep reading to learn more.
Given numbers are 951,630,720,267,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,630,720,267,582 is 13792771440.
Find LCM of 951,630,720,267,582 with Prime Factorization
2 | 951, 630, 720, 267, 582 |
3 | 951, 315, 360, 267, 291 |
3 | 317, 105, 120, 89, 97 |
5 | 317, 35, 40, 89, 97 |
317, 7, 8, 89, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 317 x 7 x 8 x 89 x 97 = 13792771440
Therefore, the lowest common multiple of 951,630,720,267,582 is 13792771440.
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.
951 x 630 x 720 x 267 x 582 = 67032869198400
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.
951 : 1, 3, 317, 951
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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
267 : 1, 3, 89, 267
582 : 1, 2, 3, 6, 97, 194, 291, 582
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,630,720,267,582, is 3.
Now, the common factors can be found like this.
951:3x 317
630:2x 3x 3x 5x 7
720:2x 2x 2x 2x 3x 3x 5
267:3x 89
582:2x 3x 97
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 3x 3x 3x 3x 5 = 1620
Therefore, the value for common factors is 1620.
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 = 67032869198400/(3x1620)
LCM = 67032869198400/4860
LCM = 13792771440
Thus, we can understand that the LCM of 951,630,720,267,582 is 13792771440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 951, 630, 720, 267, 582?
Answer: LCM of 951, 630, 720, 267, 582 is 13792771440.
2. How to calculate the LCM of 951, 630, 720, 267, 582?
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 951, 630, 720, 267, 582.
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}.