Find the LCM of 249, 714, 307, 166, 554 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 249, 714, 307, 166, 554. So, keep reading to learn more.
Given numbers are 249,714,307,166,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,714,307,166,554 is 5039581218.
Find LCM of 249,714,307,166,554 with Prime Factorization
2 | 249, 714, 307, 166, 554 |
3 | 249, 357, 307, 83, 277 |
83 | 83, 119, 307, 83, 277 |
1, 119, 307, 1, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 1 x 119 x 307 x 1 x 277 = 5039581218
Therefore, the lowest common multiple of 249,714,307,166,554 is 5039581218.
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.
249 x 714 x 307 x 166 x 554 = 5019422893128
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.
249 : 1, 3, 83, 249
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
307 : 1, 307
166 : 1, 2, 83, 166
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,714,307,166,554, is 1.
Now, the common factors can be found like this.
249:3x 83
714:2x 3x 7x 17
307:307
166:2x 83
554:2x 277
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 3x 83 = 996
Therefore, the value for common factors is 996.
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 = 5019422893128/(1x996)
LCM = 5019422893128/996
LCM = 5039581218
Thus, we can understand that the LCM of 249,714,307,166,554 is 5039581218.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 714, 307, 166, 554?
Answer: LCM of 249, 714, 307, 166, 554 is 5039581218.
2. How to calculate the LCM of 249, 714, 307, 166, 554?
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 249, 714, 307, 166, 554.
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}.