Find the LCM of 519, 346, 140, 300, 174 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 519, 346, 140, 300, 174. So, keep reading to learn more.
Given numbers are 519,346,140,300,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,346,140,300,174 is 10535700.
Find LCM of 519,346,140,300,174 with Prime Factorization
2 | 519, 346, 140, 300, 174 |
2 | 519, 173, 70, 150, 87 |
3 | 519, 173, 35, 75, 87 |
5 | 173, 173, 35, 25, 29 |
173 | 173, 173, 7, 5, 29 |
1, 1, 7, 5, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 173 x 1 x 1 x 7 x 5 x 29 = 10535700
Therefore, the lowest common multiple of 519,346,140,300,174 is 10535700.
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.
519 x 346 x 140 x 300 x 174 = 1312326792000
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.
519 : 1, 3, 173, 519
346 : 1, 2, 173, 346
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
174 : 1, 2, 3, 6, 29, 58, 87, 174
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,346,140,300,174, is 1.
Now, the common factors can be found like this.
519:3x 173
346:2x 173
140:2x 2x 5x 7
300:2x 2x 3x 5x 5
174:2x 3x 29
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 2x 2x 3x 3x 5x 173 = 124560
Therefore, the value for common factors is 124560.
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 = 1312326792000/(1x124560)
LCM = 1312326792000/124560
LCM = 10535700
Thus, we can understand that the LCM of 519,346,140,300,174 is 10535700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 519, 346, 140, 300, 174?
Answer: LCM of 519, 346, 140, 300, 174 is 10535700.
2. How to calculate the LCM of 519, 346, 140, 300, 174?
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 519, 346, 140, 300, 174.
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}.