Find the LCM of 249, 577, 943, 913, 276 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, 577, 943, 913, 276. So, keep reading to learn more.
Given numbers are 249,577,943,913,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,577,943,913,276 is 5961280116.
Find LCM of 249,577,943,913,276 with Prime Factorization
3 | 249, 577, 943, 913, 276 |
23 | 83, 577, 943, 913, 92 |
83 | 83, 577, 41, 913, 4 |
1, 577, 41, 11, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 83 x 1 x 577 x 41 x 11 x 4 = 5961280116
Therefore, the lowest common multiple of 249,577,943,913,276 is 5961280116.
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 577 x 943 x 913 x 276 = 34140251224332
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
577 : 1, 577
943 : 1, 23, 41, 943
913 : 1, 11, 83, 913
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,577,943,913,276, is 1.
Now, the common factors can be found like this.
249:3x 83
577:577
943:23x 41
913:11x 83
276:2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 83 = 5727
Therefore, the value for common factors is 5727.
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 = 34140251224332/(1x5727)
LCM = 34140251224332/5727
LCM = 5961280116
Thus, we can understand that the LCM of 249,577,943,913,276 is 5961280116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 577, 943, 913, 276?
Answer: LCM of 249, 577, 943, 913, 276 is 5961280116.
2. How to calculate the LCM of 249, 577, 943, 913, 276?
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, 577, 943, 913, 276.
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}.