LCM of 621, 754, 744, 947, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 754, 744, 947, 464 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 621, 754, 744, 947, 464. So, keep reading to learn more.
Given numbers are 621,754,744,947,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,754,744,947,464 is 109967564304.
Find LCM of 621,754,744,947,464 with Prime Factorization
| 2 | 621, 754, 744, 947, 464 |
| 2 | 621, 377, 372, 947, 232 |
| 2 | 621, 377, 186, 947, 116 |
| 3 | 621, 377, 93, 947, 58 |
| 29 | 207, 377, 31, 947, 58 |
| 207, 13, 31, 947, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 207 x 13 x 31 x 947 x 2 = 109967564304
Therefore, the lowest common multiple of 621,754,744,947,464 is 109967564304.
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.
621 x 754 x 744 x 947 x 464 = 153074849511168
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
754 : 1, 2, 13, 26, 29, 58, 377, 754
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
947 : 1, 947
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,754,744,947,464, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
754:2x 13x 29
744:2x 2x 2x 3x 31
947:947
464:2x 2x 2x 2x 29
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 29 = 1392
Therefore, the value for common factors is 1392.
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 = 153074849511168/(1x1392)
LCM = 153074849511168/1392
LCM = 109967564304
Thus, we can understand that the LCM of 621,754,744,947,464 is 109967564304.
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FAQs on LCM of 621, 754, 744, 947, 464
1. What is the LCM of 621, 754, 744, 947, 464?
Answer: LCM of 621, 754, 744, 947, 464 is 109967564304.
2. How to calculate the LCM of 621, 754, 744, 947, 464?
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 621, 754, 744, 947, 464.
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}.