LCM of 629, 308, 985, 264, 739
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 629, 308, 985, 264, 739 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 629, 308, 985, 264, 739. So, keep reading to learn more.
Given numbers are 629,308,985,264,739
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 629,308,985,264,739 is 846122572680.
Find LCM of 629,308,985,264,739 with Prime Factorization
| 2 | 629, 308, 985, 264, 739 |
| 2 | 629, 154, 985, 132, 739 |
| 11 | 629, 77, 985, 66, 739 |
| 629, 7, 985, 6, 739 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 629 x 7 x 985 x 6 x 739 = 846122572680
Therefore, the lowest common multiple of 629,308,985,264,739 is 846122572680.
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.
629 x 308 x 985 x 264 x 739 = 37229393197920
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.
629 : 1, 17, 37, 629
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
985 : 1, 5, 197, 985
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
739 : 1, 739
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,308,985,264,739, is 1.
Now, the common factors can be found like this.
629:17x 37
308:2x 2x 7x 11
985:5x 197
264:2x 2x 2x 3x 11
739:739
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 11 = 44
Therefore, the value for common factors is 44.
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 = 37229393197920/(1x44)
LCM = 37229393197920/44
LCM = 846122572680
Thus, we can understand that the LCM of 629,308,985,264,739 is 846122572680.
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FAQs on LCM of 629, 308, 985, 264, 739
1. What is the LCM of 629, 308, 985, 264, 739?
Answer: LCM of 629, 308, 985, 264, 739 is 846122572680.
2. How to calculate the LCM of 629, 308, 985, 264, 739?
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 629, 308, 985, 264, 739.
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}.