Find the LCM of 685, 551, 611, 437, 624 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 685, 551, 611, 437, 624. So, keep reading to learn more.
Given numbers are 685,551,611,437,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,551,611,437,624 is 254596514640.
Find LCM of 685,551,611,437,624 with Prime Factorization
13 | 685, 551, 611, 437, 624 |
19 | 685, 551, 47, 437, 48 |
685, 29, 47, 23, 48 |
Multiply the prime numbers at the bottom and the left side.
13 x 19 x 685 x 29 x 47 x 23 x 48 = 254596514640
Therefore, the lowest common multiple of 685,551,611,437,624 is 254596514640.
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.
685 x 551 x 611 x 437 x 624 = 62885339116080
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.
685 : 1, 5, 137, 685
551 : 1, 19, 29, 551
611 : 1, 13, 47, 611
437 : 1, 19, 23, 437
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,551,611,437,624, is 1.
Now, the common factors can be found like this.
685:5x 137
551:19x 29
611:13x 47
437:19x 23
624:2x 2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 19 = 247
Therefore, the value for common factors is 247.
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 = 62885339116080/(1x247)
LCM = 62885339116080/247
LCM = 254596514640
Thus, we can understand that the LCM of 685,551,611,437,624 is 254596514640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 685, 551, 611, 437, 624?
Answer: LCM of 685, 551, 611, 437, 624 is 254596514640.
2. How to calculate the LCM of 685, 551, 611, 437, 624?
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 685, 551, 611, 437, 624.
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}.