LCM of 345, 126, 780, 970, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 126, 780, 970, 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 345, 126, 780, 970, 981. So, keep reading to learn more.
Given numbers are 345,126,780,970,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,126,780,970,981 is 3983272020.
Find LCM of 345,126,780,970,981 with Prime Factorization
| 2 | 345, 126, 780, 970, 981 |
| 3 | 345, 63, 390, 485, 981 |
| 3 | 115, 21, 130, 485, 327 |
| 5 | 115, 7, 130, 485, 109 |
| 23, 7, 26, 97, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 7 x 26 x 97 x 109 = 3983272020
Therefore, the lowest common multiple of 345,126,780,970,981 is 3983272020.
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.
345 x 126 x 780 x 970 x 981 = 32264503362000
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
970 : 1, 2, 5, 10, 97, 194, 485, 970
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 345,126,780,970,981, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
126:2x 3x 3x 7
780:2x 2x 3x 5x 13
970:2x 5x 97
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 3x 3x 3x 3x 5x 5 = 8100
Therefore, the value for common factors is 8100.
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 = 32264503362000/(1x8100)
LCM = 32264503362000/8100
LCM = 3983272020
Thus, we can understand that the LCM of 345,126,780,970,981 is 3983272020.
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FAQs on LCM of 345, 126, 780, 970, 981
1. What is the LCM of 345, 126, 780, 970, 981?
Answer: LCM of 345, 126, 780, 970, 981 is 3983272020.
2. How to calculate the LCM of 345, 126, 780, 970, 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 345, 126, 780, 970, 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}.