Find the LCM of 914, 721, 546, 230, 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 914, 721, 546, 230, 630. So, keep reading to learn more.
Given numbers are 914,721,546,230,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,721,546,230,630 is 8866764270.
Find LCM of 914,721,546,230,630 with Prime Factorization
2 | 914, 721, 546, 230, 630 |
3 | 457, 721, 273, 115, 315 |
5 | 457, 721, 91, 115, 105 |
7 | 457, 721, 91, 23, 21 |
457, 103, 13, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 457 x 103 x 13 x 23 x 3 = 8866764270
Therefore, the lowest common multiple of 914,721,546,230,630 is 8866764270.
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.
914 x 721 x 546 x 230 x 630 = 52136573907600
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.
914 : 1, 2, 457, 914
721 : 1, 7, 103, 721
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
230 : 1, 2, 5, 10, 23, 46, 115, 230
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 914,721,546,230,630, is 1.
Now, the common factors can be found like this.
914:2x 457
721:7x 103
546:2x 3x 7x 13
230:2x 5x 23
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 3x 5x 7x 7 = 5880
Therefore, the value for common factors is 5880.
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 = 52136573907600/(1x5880)
LCM = 52136573907600/5880
LCM = 8866764270
Thus, we can understand that the LCM of 914,721,546,230,630 is 8866764270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 914, 721, 546, 230, 630?
Answer: LCM of 914, 721, 546, 230, 630 is 8866764270.
2. How to calculate the LCM of 914, 721, 546, 230, 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 914, 721, 546, 230, 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}.