LCM of 716, 972, 780, 723, 885
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 972, 780, 723, 885 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 716, 972, 780, 723, 885. So, keep reading to learn more.
Given numbers are 716,972,780,723,885
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,972,780,723,885 is 160805799180.
Find LCM of 716,972,780,723,885 with Prime Factorization
| 2 | 716, 972, 780, 723, 885 |
| 2 | 358, 486, 390, 723, 885 |
| 3 | 179, 243, 195, 723, 885 |
| 5 | 179, 81, 65, 241, 295 |
| 179, 81, 13, 241, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 179 x 81 x 13 x 241 x 59 = 160805799180
Therefore, the lowest common multiple of 716,972,780,723,885 is 160805799180.
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.
716 x 972 x 780 x 723 x 885 = 347340526228800
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.
716 : 1, 2, 4, 179, 358, 716
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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
723 : 1, 3, 241, 723
885 : 1, 3, 5, 15, 59, 177, 295, 885
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,972,780,723,885, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
972:2x 2x 3x 3x 3x 3x 3
780:2x 2x 3x 5x 13
723:3x 241
885:3x 5x 59
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 5 = 2160
Therefore, the value for common factors is 2160.
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 = 347340526228800/(1x2160)
LCM = 347340526228800/2160
LCM = 160805799180
Thus, we can understand that the LCM of 716,972,780,723,885 is 160805799180.
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FAQs on LCM of 716, 972, 780, 723, 885
1. What is the LCM of 716, 972, 780, 723, 885?
Answer: LCM of 716, 972, 780, 723, 885 is 160805799180.
2. How to calculate the LCM of 716, 972, 780, 723, 885?
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 716, 972, 780, 723, 885.
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}.