Find the LCM of 251, 692, 456, 911, 489 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 251, 692, 456, 911, 489. So, keep reading to learn more.
Given numbers are 251,692,456,911,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 251,692,456,911,489 is 2940293261784.
Find LCM of 251,692,456,911,489 with Prime Factorization
2 | 251, 692, 456, 911, 489 |
2 | 251, 346, 228, 911, 489 |
3 | 251, 173, 114, 911, 489 |
251, 173, 38, 911, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 251 x 173 x 38 x 911 x 163 = 2940293261784
Therefore, the lowest common multiple of 251,692,456,911,489 is 2940293261784.
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.
251 x 692 x 456 x 911 x 489 = 35283519141408
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.
251 : 1, 251
692 : 1, 2, 4, 173, 346, 692
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
911 : 1, 911
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,692,456,911,489, is 1.
Now, the common factors can be found like this.
251:251
692:2x 2x 173
456:2x 2x 2x 3x 19
911:911
489:3x 163
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 = 35283519141408/(1x12)
LCM = 35283519141408/12
LCM = 2940293261784
Thus, we can understand that the LCM of 251,692,456,911,489 is 2940293261784.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 251, 692, 456, 911, 489?
Answer: LCM of 251, 692, 456, 911, 489 is 2940293261784.
2. How to calculate the LCM of 251, 692, 456, 911, 489?
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 251, 692, 456, 911, 489.
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}.