Find the LCM of 310, 354, 132, 716, 699 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 310, 354, 132, 716, 699. So, keep reading to learn more.
Given numbers are 310,354,132,716,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,354,132,716,699 is 50346187980.
Find LCM of 310,354,132,716,699 with Prime Factorization
2 | 310, 354, 132, 716, 699 |
2 | 155, 177, 66, 358, 699 |
3 | 155, 177, 33, 179, 699 |
155, 59, 11, 179, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 155 x 59 x 11 x 179 x 233 = 50346187980
Therefore, the lowest common multiple of 310,354,132,716,699 is 50346187980.
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.
310 x 354 x 132 x 716 x 699 = 7249851069120
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
354 : 1, 2, 3, 6, 59, 118, 177, 354
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
716 : 1, 2, 4, 179, 358, 716
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,354,132,716,699, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
354:2x 3x 59
132:2x 2x 3x 11
716:2x 2x 179
699:3x 233
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 3 = 144
Therefore, the value for common factors is 144.
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 = 7249851069120/(1x144)
LCM = 7249851069120/144
LCM = 50346187980
Thus, we can understand that the LCM of 310,354,132,716,699 is 50346187980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 354, 132, 716, 699?
Answer: LCM of 310, 354, 132, 716, 699 is 50346187980.
2. How to calculate the LCM of 310, 354, 132, 716, 699?
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 310, 354, 132, 716, 699.
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}.