LCM of 981, 420, 322, 980, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 420, 322, 980, 981 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, 420, 322, 980, 981. So, keep reading to learn more.
Given numbers are 981,420,322,980,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,420,322,980,981 is 22111740.
Find LCM of 981,420,322,980,981 with Prime Factorization
| 2 | 981, 420, 322, 980, 981 |
| 2 | 981, 210, 161, 490, 981 |
| 3 | 981, 105, 161, 245, 981 |
| 3 | 327, 35, 161, 245, 327 |
| 5 | 109, 35, 161, 245, 109 |
| 7 | 109, 7, 161, 49, 109 |
| 109 | 109, 1, 23, 7, 109 |
| 1, 1, 23, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 109 x 1 x 1 x 23 x 7 x 1 = 22111740
Therefore, the lowest common multiple of 981,420,322,980,981 is 22111740.
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 420 x 322 x 980 x 981 = 127546707607200
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
322 : 1, 2, 7, 14, 23, 46, 161, 322
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,420,322,980,981, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
420:2x 2x 3x 5x 7
322:2x 7x 23
980:2x 2x 5x 7x 7
981:3x 3x 109
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 3x 3x 5x 7x 7x 109 = 5768280
Therefore, the value for common factors is 5768280.
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 = 127546707607200/(1x5768280)
LCM = 127546707607200/5768280
LCM = 22111740
Thus, we can understand that the LCM of 981,420,322,980,981 is 22111740.
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FAQs on LCM of 981, 420, 322, 980, 981
1. What is the LCM of 981, 420, 322, 980, 981?
Answer: LCM of 981, 420, 322, 980, 981 is 22111740.
2. How to calculate the LCM of 981, 420, 322, 980, 981?
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, 420, 322, 980, 981.
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}.