LCM of 729, 780, 653, 345, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 780, 653, 345, 970 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 729, 780, 653, 345, 970. So, keep reading to learn more.
Given numbers are 729,780,653,345,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,780,653,345,970 is 276130022220.
Find LCM of 729,780,653,345,970 with Prime Factorization
| 2 | 729, 780, 653, 345, 970 |
| 3 | 729, 390, 653, 345, 485 |
| 5 | 243, 130, 653, 115, 485 |
| 243, 26, 653, 23, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 243 x 26 x 653 x 23 x 97 = 276130022220
Therefore, the lowest common multiple of 729,780,653,345,970 is 276130022220.
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.
729 x 780 x 653 x 345 x 970 = 124258509999000
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.
729 : 1, 3, 9, 27, 81, 243, 729
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
653 : 1, 653
345 : 1, 3, 5, 15, 23, 69, 115, 345
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,780,653,345,970, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
780:2x 2x 3x 5x 13
653:653
345:3x 5x 23
970:2x 5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 124258509999000/(1x450)
LCM = 124258509999000/450
LCM = 276130022220
Thus, we can understand that the LCM of 729,780,653,345,970 is 276130022220.
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FAQs on LCM of 729, 780, 653, 345, 970
1. What is the LCM of 729, 780, 653, 345, 970?
Answer: LCM of 729, 780, 653, 345, 970 is 276130022220.
2. How to calculate the LCM of 729, 780, 653, 345, 970?
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 729, 780, 653, 345, 970.
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}.