LCM of 744, 899, 497, 457, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 899, 497, 457, 812 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, 899, 497, 457, 812. So, keep reading to learn more.
Given numbers are 744,899,497,457,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,899,497,457,812 is 4900535304.
Find LCM of 744,899,497,457,812 with Prime Factorization
| 2 | 744, 899, 497, 457, 812 |
| 2 | 372, 899, 497, 457, 406 |
| 7 | 186, 899, 497, 457, 203 |
| 29 | 186, 899, 71, 457, 29 |
| 31 | 186, 31, 71, 457, 1 |
| 6, 1, 71, 457, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 29 x 31 x 6 x 1 x 71 x 457 x 1 = 4900535304
Therefore, the lowest common multiple of 744,899,497,457,812 is 4900535304.
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 899 x 497 x 457 x 812 = 123356274672288
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
899 : 1, 29, 31, 899
497 : 1, 7, 71, 497
457 : 1, 457
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,899,497,457,812, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
899:29x 31
497:7x 71
457:457
812:2x 2x 7x 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 7x 29x 31 = 25172
Therefore, the value for common factors is 25172.
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 = 123356274672288/(1x25172)
LCM = 123356274672288/25172
LCM = 4900535304
Thus, we can understand that the LCM of 744,899,497,457,812 is 4900535304.
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FAQs on LCM of 744, 899, 497, 457, 812
1. What is the LCM of 744, 899, 497, 457, 812?
Answer: LCM of 744, 899, 497, 457, 812 is 4900535304.
2. How to calculate the LCM of 744, 899, 497, 457, 812?
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, 899, 497, 457, 812.
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}.