Find the LCM of 735, 516, 652, 780, 922 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 735, 516, 652, 780, 922. So, keep reading to learn more.
Given numbers are 735,516,652,780,922
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,516,652,780,922 is 123494514780.
Find LCM of 735,516,652,780,922 with Prime Factorization
2 | 735, 516, 652, 780, 922 |
2 | 735, 258, 326, 390, 461 |
3 | 735, 129, 163, 195, 461 |
5 | 245, 43, 163, 65, 461 |
49, 43, 163, 13, 461 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 49 x 43 x 163 x 13 x 461 = 123494514780
Therefore, the lowest common multiple of 735,516,652,780,922 is 123494514780.
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.
735 x 516 x 652 x 780 x 922 = 177832101283200
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
652 : 1, 2, 4, 163, 326, 652
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
922 : 1, 2, 461, 922
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,516,652,780,922, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
516:2x 2x 3x 43
652:2x 2x 163
780:2x 2x 3x 5x 13
922:2x 461
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 177832101283200/(1x1440)
LCM = 177832101283200/1440
LCM = 123494514780
Thus, we can understand that the LCM of 735,516,652,780,922 is 123494514780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 735, 516, 652, 780, 922?
Answer: LCM of 735, 516, 652, 780, 922 is 123494514780.
2. How to calculate the LCM of 735, 516, 652, 780, 922?
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 735, 516, 652, 780, 922.
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}.