Find the LCM of 998, 761, 131, 728, 298 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 998, 761, 131, 728, 298. So, keep reading to learn more.
Given numbers are 998,761,131,728,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 998,761,131,728,298 is 5396027393848.
Find LCM of 998,761,131,728,298 with Prime Factorization
2 | 998, 761, 131, 728, 298 |
499, 761, 131, 364, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 761 x 131 x 364 x 149 = 5396027393848
Therefore, the lowest common multiple of 998,761,131,728,298 is 5396027393848.
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.
998 x 761 x 131 x 728 x 298 = 21584109575392
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.
998 : 1, 2, 499, 998
761 : 1, 761
131 : 1, 131
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,761,131,728,298, is 1.
Now, the common factors can be found like this.
998:2x 499
761:761
131:131
728:2x 2x 2x 7x 13
298:2x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 21584109575392/(1x4)
LCM = 21584109575392/4
LCM = 5396027393848
Thus, we can understand that the LCM of 998,761,131,728,298 is 5396027393848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 998, 761, 131, 728, 298?
Answer: LCM of 998, 761, 131, 728, 298 is 5396027393848.
2. How to calculate the LCM of 998, 761, 131, 728, 298?
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 998, 761, 131, 728, 298.
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}.