Find the LCM of 630, 931, 614, 149, 756 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 630, 931, 614, 149, 756. So, keep reading to learn more.
Given numbers are 630,931,614,149,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,931,614,149,756 is 22996835820.
Find LCM of 630,931,614,149,756 with Prime Factorization
2 | 630, 931, 614, 149, 756 |
3 | 315, 931, 307, 149, 378 |
3 | 105, 931, 307, 149, 126 |
7 | 35, 931, 307, 149, 42 |
5, 133, 307, 149, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 5 x 133 x 307 x 149 x 6 = 22996835820
Therefore, the lowest common multiple of 630,931,614,149,756 is 22996835820.
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.
630 x 931 x 614 x 149 x 756 = 40566418386480
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.
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
931 : 1, 7, 19, 49, 133, 931
614 : 1, 2, 307, 614
149 : 1, 149
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,931,614,149,756, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
931:7x 7x 19
614:2x 307
149:149
756:2x 2x 3x 3x 3x 7
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 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 40566418386480/(1x1764)
LCM = 40566418386480/1764
LCM = 22996835820
Thus, we can understand that the LCM of 630,931,614,149,756 is 22996835820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 931, 614, 149, 756?
Answer: LCM of 630, 931, 614, 149, 756 is 22996835820.
2. How to calculate the LCM of 630, 931, 614, 149, 756?
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 630, 931, 614, 149, 756.
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}.