LCM of 744, 558, 206, 457, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 744, 558, 206, 457, 961 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, 558, 206, 457, 961. So, keep reading to learn more.
Given numbers are 744,558,206,457,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 744,558,206,457,961 is 3256936632.
Find LCM of 744,558,206,457,961 with Prime Factorization
| 2 | 744, 558, 206, 457, 961 |
| 3 | 372, 279, 103, 457, 961 |
| 31 | 124, 93, 103, 457, 961 |
| 4, 3, 103, 457, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 4 x 3 x 103 x 457 x 31 = 3256936632
Therefore, the lowest common multiple of 744,558,206,457,961 is 3256936632.
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 558 x 206 x 457 x 961 = 37558993240224
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
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
206 : 1, 2, 103, 206
457 : 1, 457
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,558,206,457,961, is 1.
Now, the common factors can be found like this.
744:2x 2x 2x 3x 31
558:2x 3x 3x 31
206:2x 103
457:457
961:31x 31
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 3x 31x 31 = 11532
Therefore, the value for common factors is 11532.
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 = 37558993240224/(1x11532)
LCM = 37558993240224/11532
LCM = 3256936632
Thus, we can understand that the LCM of 744,558,206,457,961 is 3256936632.
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FAQs on LCM of 744, 558, 206, 457, 961
1. What is the LCM of 744, 558, 206, 457, 961?
Answer: LCM of 744, 558, 206, 457, 961 is 3256936632.
2. How to calculate the LCM of 744, 558, 206, 457, 961?
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, 558, 206, 457, 961.
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}.