LCM of 599, 888, 962, 222, 440
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 888, 962, 222, 440 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 599, 888, 962, 222, 440. So, keep reading to learn more.
Given numbers are 599,888,962,222,440
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,888,962,222,440 is 380317080.
Find LCM of 599,888,962,222,440 with Prime Factorization
| 2 | 599, 888, 962, 222, 440 |
| 2 | 599, 444, 481, 111, 220 |
| 2 | 599, 222, 481, 111, 110 |
| 3 | 599, 111, 481, 111, 55 |
| 37 | 599, 37, 481, 37, 55 |
| 599, 1, 13, 1, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 37 x 599 x 1 x 13 x 1 x 55 = 380317080
Therefore, the lowest common multiple of 599,888,962,222,440 is 380317080.
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.
599 x 888 x 962 x 222 x 440 = 49982791921920
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.
599 : 1, 599
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
962 : 1, 2, 13, 26, 37, 74, 481, 962
222 : 1, 2, 3, 6, 37, 74, 111, 222
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,888,962,222,440, is 1.
Now, the common factors can be found like this.
599:599
888:2x 2x 2x 3x 37
962:2x 13x 37
222:2x 3x 37
440:2x 2x 2x 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 2x 2x 2x 2x 3x 37x 37 = 131424
Therefore, the value for common factors is 131424.
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 = 49982791921920/(1x131424)
LCM = 49982791921920/131424
LCM = 380317080
Thus, we can understand that the LCM of 599,888,962,222,440 is 380317080.
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FAQs on LCM of 599, 888, 962, 222, 440
1. What is the LCM of 599, 888, 962, 222, 440?
Answer: LCM of 599, 888, 962, 222, 440 is 380317080.
2. How to calculate the LCM of 599, 888, 962, 222, 440?
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 599, 888, 962, 222, 440.
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}.