LCM of 527, 230, 114, 444, 983
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 527, 230, 114, 444, 983 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 527, 230, 114, 444, 983. So, keep reading to learn more.
Given numbers are 527,230,114,444,983
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 527,230,114,444,983 is 502572295740.
Find LCM of 527,230,114,444,983 with Prime Factorization
| 2 | 527, 230, 114, 444, 983 |
| 3 | 527, 115, 57, 222, 983 |
| 527, 115, 19, 74, 983 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 527 x 115 x 19 x 74 x 983 = 502572295740
Therefore, the lowest common multiple of 527,230,114,444,983 is 502572295740.
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.
527 x 230 x 114 x 444 x 983 = 6030867548880
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.
527 : 1, 17, 31, 527
230 : 1, 2, 5, 10, 23, 46, 115, 230
114 : 1, 2, 3, 6, 19, 38, 57, 114
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
983 : 1, 983
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 527,230,114,444,983, is 1.
Now, the common factors can be found like this.
527:17x 31
230:2x 5x 23
114:2x 3x 19
444:2x 2x 3x 37
983:983
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 3 = 12
Therefore, the value for common factors is 12.
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 = 6030867548880/(1x12)
LCM = 6030867548880/12
LCM = 502572295740
Thus, we can understand that the LCM of 527,230,114,444,983 is 502572295740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 527, 230, 114, 444, 983
1. What is the LCM of 527, 230, 114, 444, 983?
Answer: LCM of 527, 230, 114, 444, 983 is 502572295740.
2. How to calculate the LCM of 527, 230, 114, 444, 983?
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 527, 230, 114, 444, 983.
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}.