Find the LCM of 253, 436, 867, 942, 958 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 253, 436, 867, 942, 958. So, keep reading to learn more.
Given numbers are 253,436,867,942,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,436,867,942,958 is 7192192018308.
Find LCM of 253,436,867,942,958 with Prime Factorization
2 | 253, 436, 867, 942, 958 |
3 | 253, 218, 867, 471, 479 |
253, 218, 289, 157, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 253 x 218 x 289 x 157 x 479 = 7192192018308
Therefore, the lowest common multiple of 253,436,867,942,958 is 7192192018308.
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.
253 x 436 x 867 x 942 x 958 = 86306304219696
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.
253 : 1, 11, 23, 253
436 : 1, 2, 4, 109, 218, 436
867 : 1, 3, 17, 51, 289, 867
942 : 1, 2, 3, 6, 157, 314, 471, 942
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,436,867,942,958, is 1.
Now, the common factors can be found like this.
253:11x 23
436:2x 2x 109
867:3x 17x 17
942:2x 3x 157
958:2x 479
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 3 = 12
Therefore, the value for common factors is 12.
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 = 86306304219696/(1x12)
LCM = 86306304219696/12
LCM = 7192192018308
Thus, we can understand that the LCM of 253,436,867,942,958 is 7192192018308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 436, 867, 942, 958?
Answer: LCM of 253, 436, 867, 942, 958 is 7192192018308.
2. How to calculate the LCM of 253, 436, 867, 942, 958?
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 253, 436, 867, 942, 958.
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}.