LCM of 240, 988, 573, 927, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 988, 573, 927, 814 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 240, 988, 573, 927, 814. So, keep reading to learn more.
Given numbers are 240,988,573,927,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,988,573,927,814 is 1423949052240.
Find LCM of 240,988,573,927,814 with Prime Factorization
| 2 | 240, 988, 573, 927, 814 |
| 2 | 120, 494, 573, 927, 407 |
| 3 | 60, 247, 573, 927, 407 |
| 20, 247, 191, 309, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 20 x 247 x 191 x 309 x 407 = 1423949052240
Therefore, the lowest common multiple of 240,988,573,927,814 is 1423949052240.
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.
240 x 988 x 573 x 927 x 814 = 102524331761280
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
573 : 1, 3, 191, 573
927 : 1, 3, 9, 103, 309, 927
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,988,573,927,814, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
988:2x 2x 13x 19
573:3x 191
927:3x 3x 103
814:2x 11x 37
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 102524331761280/(1x72)
LCM = 102524331761280/72
LCM = 1423949052240
Thus, we can understand that the LCM of 240,988,573,927,814 is 1423949052240.
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FAQs on LCM of 240, 988, 573, 927, 814
1. What is the LCM of 240, 988, 573, 927, 814?
Answer: LCM of 240, 988, 573, 927, 814 is 1423949052240.
2. How to calculate the LCM of 240, 988, 573, 927, 814?
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 240, 988, 573, 927, 814.
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}.