Find the LCM of 122, 240, 781, 549, 992 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 122, 240, 781, 549, 992. So, keep reading to learn more.
Given numbers are 122,240,781,549,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 122,240,781,549,992 is 2126694240.
Find LCM of 122,240,781,549,992 with Prime Factorization
2 | 122, 240, 781, 549, 992 |
2 | 61, 120, 781, 549, 496 |
2 | 61, 60, 781, 549, 248 |
2 | 61, 30, 781, 549, 124 |
3 | 61, 15, 781, 549, 62 |
61 | 61, 5, 781, 183, 62 |
1, 5, 781, 3, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 61 x 1 x 5 x 781 x 3 x 62 = 2126694240
Therefore, the lowest common multiple of 122,240,781,549,992 is 2126694240.
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.
122 x 240 x 781 x 549 x 992 = 12453921469440
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.
122 : 1, 2, 61, 122
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
781 : 1, 11, 71, 781
549 : 1, 3, 9, 61, 183, 549
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,240,781,549,992, is 1.
Now, the common factors can be found like this.
122:2x 61
240:2x 2x 2x 2x 3x 5
781:11x 71
549:3x 3x 61
992:2x 2x 2x 2x 2x 31
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 61 = 5856
Therefore, the value for common factors is 5856.
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 = 12453921469440/(1x5856)
LCM = 12453921469440/5856
LCM = 2126694240
Thus, we can understand that the LCM of 122,240,781,549,992 is 2126694240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 122, 240, 781, 549, 992?
Answer: LCM of 122, 240, 781, 549, 992 is 2126694240.
2. How to calculate the LCM of 122, 240, 781, 549, 992?
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 122, 240, 781, 549, 992.
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}.