Find the LCM of 930, 120, 685, 916, 630 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 930, 120, 685, 916, 630. So, keep reading to learn more.
Given numbers are 930,120,685,916,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 930,120,685,916,630 is 2450858760.
Find LCM of 930,120,685,916,630 with Prime Factorization
2 | 930, 120, 685, 916, 630 |
2 | 465, 60, 685, 458, 315 |
3 | 465, 30, 685, 229, 315 |
5 | 155, 10, 685, 229, 105 |
31, 2, 137, 229, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 2 x 137 x 229 x 21 = 2450858760
Therefore, the lowest common multiple of 930,120,685,916,630 is 2450858760.
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.
930 x 120 x 685 x 916 x 630 = 44115457680000
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.
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
685 : 1, 5, 137, 685
916 : 1, 2, 4, 229, 458, 916
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,120,685,916,630, is 1.
Now, the common factors can be found like this.
930:2x 3x 5x 31
120:2x 2x 2x 3x 5
685:5x 137
916:2x 2x 229
630:2x 3x 3x 5x 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 2x 2x 3x 3x 5x 5x 5 = 18000
Therefore, the value for common factors is 18000.
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 = 44115457680000/(1x18000)
LCM = 44115457680000/18000
LCM = 2450858760
Thus, we can understand that the LCM of 930,120,685,916,630 is 2450858760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 930, 120, 685, 916, 630?
Answer: LCM of 930, 120, 685, 916, 630 is 2450858760.
2. How to calculate the LCM of 930, 120, 685, 916, 630?
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 930, 120, 685, 916, 630.
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}.