LCM of 788, 592, 951, 506, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 788, 592, 951, 506, 240 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 788, 592, 951, 506, 240. So, keep reading to learn more.
Given numbers are 788,592,951,506,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,592,951,506,240 is 140300421360.
Find LCM of 788,592,951,506,240 with Prime Factorization
| 2 | 788, 592, 951, 506, 240 |
| 2 | 394, 296, 951, 253, 120 |
| 2 | 197, 148, 951, 253, 60 |
| 2 | 197, 74, 951, 253, 30 |
| 3 | 197, 37, 951, 253, 15 |
| 197, 37, 317, 253, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 197 x 37 x 317 x 253 x 5 = 140300421360
Therefore, the lowest common multiple of 788,592,951,506,240 is 140300421360.
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.
788 x 592 x 951 x 506 x 240 = 53875361802240
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.
788 : 1, 2, 4, 197, 394, 788
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
951 : 1, 3, 317, 951
506 : 1, 2, 11, 22, 23, 46, 253, 506
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,592,951,506,240, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
592:2x 2x 2x 2x 37
951:3x 317
506:2x 11x 23
240:2x 2x 2x 2x 3x 5
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 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 53875361802240/(1x384)
LCM = 53875361802240/384
LCM = 140300421360
Thus, we can understand that the LCM of 788,592,951,506,240 is 140300421360.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 788, 592, 951, 506, 240
1. What is the LCM of 788, 592, 951, 506, 240?
Answer: LCM of 788, 592, 951, 506, 240 is 140300421360.
2. How to calculate the LCM of 788, 592, 951, 506, 240?
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 788, 592, 951, 506, 240.
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}.