Find the LCM of 598, 245, 627, 763, 129 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 598, 245, 627, 763, 129. So, keep reading to learn more.
Given numbers are 598,245,627,763,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,245,627,763,129 is 430556115990.
Find LCM of 598,245,627,763,129 with Prime Factorization
3 | 598, 245, 627, 763, 129 |
7 | 598, 245, 209, 763, 43 |
598, 35, 209, 109, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 598 x 35 x 209 x 109 x 43 = 430556115990
Therefore, the lowest common multiple of 598,245,627,763,129 is 430556115990.
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.
598 x 245 x 627 x 763 x 129 = 9041678435790
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
245 : 1, 5, 7, 35, 49, 245
627 : 1, 3, 11, 19, 33, 57, 209, 627
763 : 1, 7, 109, 763
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,245,627,763,129, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
245:5x 7x 7
627:3x 11x 19
763:7x 109
129:3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 9041678435790/(1x21)
LCM = 9041678435790/21
LCM = 430556115990
Thus, we can understand that the LCM of 598,245,627,763,129 is 430556115990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 245, 627, 763, 129?
Answer: LCM of 598, 245, 627, 763, 129 is 430556115990.
2. How to calculate the LCM of 598, 245, 627, 763, 129?
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 598, 245, 627, 763, 129.
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}.