Find the LCM of 866, 701, 543, 624, 307 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 866, 701, 543, 624, 307. So, keep reading to learn more.
Given numbers are 866,701,543,624,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 866,701,543,624,307 is 10524644963664.
Find LCM of 866,701,543,624,307 with Prime Factorization
2 | 866, 701, 543, 624, 307 |
3 | 433, 701, 543, 312, 307 |
433, 701, 181, 104, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 433 x 701 x 181 x 104 x 307 = 10524644963664
Therefore, the lowest common multiple of 866,701,543,624,307 is 10524644963664.
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.
866 x 701 x 543 x 624 x 307 = 63147869781984
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.
866 : 1, 2, 433, 866
701 : 1, 701
543 : 1, 3, 181, 543
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 866,701,543,624,307, is 1.
Now, the common factors can be found like this.
866:2x 433
701:701
543:3x 181
624:2x 2x 2x 2x 3x 13
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 63147869781984/(1x6)
LCM = 63147869781984/6
LCM = 10524644963664
Thus, we can understand that the LCM of 866,701,543,624,307 is 10524644963664.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 866, 701, 543, 624, 307?
Answer: LCM of 866, 701, 543, 624, 307 is 10524644963664.
2. How to calculate the LCM of 866, 701, 543, 624, 307?
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 866, 701, 543, 624, 307.
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}.