LCM of 981, 492, 156, 561, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 492, 156, 561, 984 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 981, 492, 156, 561, 984. So, keep reading to learn more.
Given numbers are 981,492,156,561,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,492,156,561,984 is 782218008.
Find LCM of 981,492,156,561,984 with Prime Factorization
| 2 | 981, 492, 156, 561, 984 |
| 2 | 981, 246, 78, 561, 492 |
| 3 | 981, 123, 39, 561, 246 |
| 41 | 327, 41, 13, 187, 82 |
| 327, 1, 13, 187, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 327 x 1 x 13 x 187 x 2 = 782218008
Therefore, the lowest common multiple of 981,492,156,561,984 is 782218008.
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.
981 x 492 x 156 x 561 x 984 = 41563936073088
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.
981 : 1, 3, 9, 109, 327, 981
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
561 : 1, 3, 11, 17, 33, 51, 187, 561
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,492,156,561,984, is 3.
Now, the common factors can be found like this.
981:3x 3x 109
492:2x 2x 3x 41
156:2x 2x 3x 13
561:3x 11x 17
984:2x 2x 2x 3x 41
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 3x 3x 3x 41 = 17712
Therefore, the value for common factors is 17712.
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 = 41563936073088/(3x17712)
LCM = 41563936073088/53136
LCM = 782218008
Thus, we can understand that the LCM of 981,492,156,561,984 is 782218008.
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FAQs on LCM of 981, 492, 156, 561, 984
1. What is the LCM of 981, 492, 156, 561, 984?
Answer: LCM of 981, 492, 156, 561, 984 is 782218008.
2. How to calculate the LCM of 981, 492, 156, 561, 984?
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 981, 492, 156, 561, 984.
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}.