Find the LCM of 730, 121, 792, 528, 893 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 730, 121, 792, 528, 893. So, keep reading to learn more.
Given numbers are 730,121,792,528,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 730,121,792,528,893 is 5679265680.
Find LCM of 730,121,792,528,893 with Prime Factorization
2 | 730, 121, 792, 528, 893 |
2 | 365, 121, 396, 264, 893 |
2 | 365, 121, 198, 132, 893 |
3 | 365, 121, 99, 66, 893 |
11 | 365, 121, 33, 22, 893 |
365, 11, 3, 2, 893 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 365 x 11 x 3 x 2 x 893 = 5679265680
Therefore, the lowest common multiple of 730,121,792,528,893 is 5679265680.
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.
730 x 121 x 792 x 528 x 893 = 32985175069440
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.
730 : 1, 2, 5, 10, 73, 146, 365, 730
121 : 1, 11, 121
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,121,792,528,893, is 1.
Now, the common factors can be found like this.
730:2x 5x 73
121:11x 11
792:2x 2x 2x 3x 3x 11
528:2x 2x 2x 2x 3x 11
893:19x 47
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 3x 11x 11 = 5808
Therefore, the value for common factors is 5808.
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 = 32985175069440/(1x5808)
LCM = 32985175069440/5808
LCM = 5679265680
Thus, we can understand that the LCM of 730,121,792,528,893 is 5679265680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 730, 121, 792, 528, 893?
Answer: LCM of 730, 121, 792, 528, 893 is 5679265680.
2. How to calculate the LCM of 730, 121, 792, 528, 893?
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 730, 121, 792, 528, 893.
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}.