LCM of 744, 101, 968, 516, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 101, 968, 516, 969 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 744, 101, 968, 516, 969. So, keep reading to learn more.
Given numbers are 744,101,968,516,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,101,968,516,969 is 126284676936.
Find LCM of 744,101,968,516,969 with Prime Factorization
| 2 | 744, 101, 968, 516, 969 |
| 2 | 372, 101, 484, 258, 969 |
| 2 | 186, 101, 242, 129, 969 |
| 3 | 93, 101, 121, 129, 969 |
| 31, 101, 121, 43, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 101 x 121 x 43 x 323 = 126284676936
Therefore, the lowest common multiple of 744,101,968,516,969 is 126284676936.
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.
744 x 101 x 968 x 516 x 969 = 36369986957568
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.
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
101 : 1, 101
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,101,968,516,969, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
101:101
968:2x 2x 2x 11x 11
516:2x 2x 3x 43
969:3x 17x 19
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 36369986957568/(1x288)
LCM = 36369986957568/288
LCM = 126284676936
Thus, we can understand that the LCM of 744,101,968,516,969 is 126284676936.
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FAQs on LCM of 744, 101, 968, 516, 969
1. What is the LCM of 744, 101, 968, 516, 969?
Answer: LCM of 744, 101, 968, 516, 969 is 126284676936.
2. How to calculate the LCM of 744, 101, 968, 516, 969?
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 744, 101, 968, 516, 969.
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}.