Find the LCM of 989, 493, 708, 699, 737 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 989, 493, 708, 699, 737. So, keep reading to learn more.
Given numbers are 989,493,708,699,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 989,493,708,699,737 is 59278864692036.
Find LCM of 989,493,708,699,737 with Prime Factorization
3 | 989, 493, 708, 699, 737 |
989, 493, 236, 233, 737 |
Multiply the prime numbers at the bottom and the left side.
3 x 989 x 493 x 236 x 233 x 737 = 59278864692036
Therefore, the lowest common multiple of 989,493,708,699,737 is 59278864692036.
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.
989 x 493 x 708 x 699 x 737 = 177836594076108
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.
989 : 1, 23, 43, 989
493 : 1, 17, 29, 493
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
699 : 1, 3, 233, 699
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 989,493,708,699,737, is 1.
Now, the common factors can be found like this.
989:23x 43
493:17x 29
708:2x 2x 3x 59
699:3x 233
737:11x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 177836594076108/(1x3)
LCM = 177836594076108/3
LCM = 59278864692036
Thus, we can understand that the LCM of 989,493,708,699,737 is 59278864692036.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 493, 708, 699, 737?
Answer: LCM of 989, 493, 708, 699, 737 is 59278864692036.
2. How to calculate the LCM of 989, 493, 708, 699, 737?
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 989, 493, 708, 699, 737.
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}.