Find the LCM of 229, 508, 442, 624, 680 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 229, 508, 442, 624, 680. So, keep reading to learn more.
Given numbers are 229,508,442,624,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 229,508,442,624,680 is 1542562320.
Find LCM of 229,508,442,624,680 with Prime Factorization
2 | 229, 508, 442, 624, 680 |
2 | 229, 254, 221, 312, 340 |
2 | 229, 127, 221, 156, 170 |
13 | 229, 127, 221, 78, 85 |
17 | 229, 127, 17, 6, 85 |
229, 127, 1, 6, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 17 x 229 x 127 x 1 x 6 x 5 = 1542562320
Therefore, the lowest common multiple of 229,508,442,624,680 is 1542562320.
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.
229 x 508 x 442 x 624 x 680 = 21818001454080
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.
229 : 1, 229
508 : 1, 2, 4, 127, 254, 508
442 : 1, 2, 13, 17, 26, 34, 221, 442
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 229,508,442,624,680, is 1.
Now, the common factors can be found like this.
229:229
508:2x 2x 127
442:2x 13x 17
624:2x 2x 2x 2x 3x 13
680:2x 2x 2x 5x 17
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 2x 2x 13x 17 = 14144
Therefore, the value for common factors is 14144.
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 = 21818001454080/(1x14144)
LCM = 21818001454080/14144
LCM = 1542562320
Thus, we can understand that the LCM of 229,508,442,624,680 is 1542562320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 229, 508, 442, 624, 680?
Answer: LCM of 229, 508, 442, 624, 680 is 1542562320.
2. How to calculate the LCM of 229, 508, 442, 624, 680?
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 229, 508, 442, 624, 680.
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}.