Find the LCM of 719, 403, 248, 708 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 719, 403, 248, 708. So, keep reading to learn more.
Given numbers are 719,403,248,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,403,248,708 is 410295912.
Find LCM of 719,403,248,708 with Prime Factorization
2 | 719, 403, 248, 708 |
2 | 719, 403, 124, 354 |
31 | 719, 403, 62, 177 |
719, 13, 2, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 31 x 719 x 13 x 2 x 177 = 410295912
Therefore, the lowest common multiple of 719,403,248,708 is 410295912.
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.
719 x 403 x 248 x 708 = 50876693088
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.
719 : 1, 719
403 : 1, 13, 31, 403
248 : 1, 2, 4, 8, 31, 62, 124, 248
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,403,248,708, is 1.
Now, the common factors can be found like this.
719:719
403:13x 31
248:2x 2x 2x 31
708:2x 2x 3x 59
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 31 = 124
Therefore, the value for common factors is 124.
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 = 50876693088/(1x124)
LCM = 50876693088/124
LCM = 410295912
Thus, we can understand that the LCM of 719,403,248,708 is 410295912.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 719, 403, 248, 708?
Answer: LCM of 719, 403, 248, 708 is 410295912.
2. How to calculate the LCM of 719, 403, 248, 708?
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 719, 403, 248, 708.
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}.