LCM of 264, 611, 735, 516, 690
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 611, 735, 516, 690 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 264, 611, 735, 516, 690. So, keep reading to learn more.
Given numbers are 264,611,735,516,690
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,611,735,516,690 is 39084765720.
Find LCM of 264,611,735,516,690 with Prime Factorization
| 2 | 264, 611, 735, 516, 690 |
| 2 | 132, 611, 735, 258, 345 |
| 3 | 66, 611, 735, 129, 345 |
| 5 | 22, 611, 245, 43, 115 |
| 22, 611, 49, 43, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 22 x 611 x 49 x 43 x 23 = 39084765720
Therefore, the lowest common multiple of 264,611,735,516,690 is 39084765720.
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.
264 x 611 x 735 x 516 x 690 = 42211546977600
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
611 : 1, 13, 47, 611
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,611,735,516,690, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
611:13x 47
735:3x 5x 7x 7
516:2x 2x 3x 43
690:2x 3x 5x 23
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 5 = 1080
Therefore, the value for common factors is 1080.
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 = 42211546977600/(1x1080)
LCM = 42211546977600/1080
LCM = 39084765720
Thus, we can understand that the LCM of 264,611,735,516,690 is 39084765720.
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FAQs on LCM of 264, 611, 735, 516, 690
1. What is the LCM of 264, 611, 735, 516, 690?
Answer: LCM of 264, 611, 735, 516, 690 is 39084765720.
2. How to calculate the LCM of 264, 611, 735, 516, 690?
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 264, 611, 735, 516, 690.
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}.