LCM of 810, 532, 552, 694, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 532, 552, 694, 716 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 810, 532, 552, 694, 716. So, keep reading to learn more.
Given numbers are 810,532,552,694,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,532,552,694,716 is 615611881080.
Find LCM of 810,532,552,694,716 with Prime Factorization
| 2 | 810, 532, 552, 694, 716 |
| 2 | 405, 266, 276, 347, 358 |
| 3 | 405, 133, 138, 347, 179 |
| 135, 133, 46, 347, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 135 x 133 x 46 x 347 x 179 = 615611881080
Therefore, the lowest common multiple of 810,532,552,694,716 is 615611881080.
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.
810 x 532 x 552 x 694 x 716 = 118197481167360
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
694 : 1, 2, 347, 694
716 : 1, 2, 4, 179, 358, 716
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,532,552,694,716, is 2.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
532:2x 2x 7x 19
552:2x 2x 2x 3x 23
694:2x 347
716:2x 2x 179
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 118197481167360/(2x96)
LCM = 118197481167360/192
LCM = 615611881080
Thus, we can understand that the LCM of 810,532,552,694,716 is 615611881080.
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FAQs on LCM of 810, 532, 552, 694, 716
1. What is the LCM of 810, 532, 552, 694, 716?
Answer: LCM of 810, 532, 552, 694, 716 is 615611881080.
2. How to calculate the LCM of 810, 532, 552, 694, 716?
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 810, 532, 552, 694, 716.
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}.