Find the LCM of 707, 938, 529, 963, 550 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 707, 938, 529, 963, 550. So, keep reading to learn more.
Given numbers are 707,938,529,963,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 707,938,529,963,550 is 13272076159650.
Find LCM of 707,938,529,963,550 with Prime Factorization
2 | 707, 938, 529, 963, 550 |
7 | 707, 469, 529, 963, 275 |
101, 67, 529, 963, 275 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 101 x 67 x 529 x 963 x 275 = 13272076159650
Therefore, the lowest common multiple of 707,938,529,963,550 is 13272076159650.
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.
707 x 938 x 529 x 963 x 550 = 185809066235100
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.
707 : 1, 7, 101, 707
938 : 1, 2, 7, 14, 67, 134, 469, 938
529 : 1, 23, 529
963 : 1, 3, 9, 107, 321, 963
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,938,529,963,550, is 1.
Now, the common factors can be found like this.
707:7x 101
938:2x 7x 67
529:23x 23
963:3x 3x 107
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 185809066235100/(1x14)
LCM = 185809066235100/14
LCM = 13272076159650
Thus, we can understand that the LCM of 707,938,529,963,550 is 13272076159650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 707, 938, 529, 963, 550?
Answer: LCM of 707, 938, 529, 963, 550 is 13272076159650.
2. How to calculate the LCM of 707, 938, 529, 963, 550?
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 707, 938, 529, 963, 550.
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}.