Find the LCM of 281, 494, 650, 152 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 281, 494, 650, 152. So, keep reading to learn more.
Given numbers are 281,494,650,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 281,494,650,152 is 13881400.
Find LCM of 281,494,650,152 with Prime Factorization
2 | 281, 494, 650, 152 |
13 | 281, 247, 325, 76 |
19 | 281, 19, 25, 76 |
281, 1, 25, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 281 x 1 x 25 x 4 = 13881400
Therefore, the lowest common multiple of 281,494,650,152 is 13881400.
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.
281 x 494 x 650 x 152 = 13714823200
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.
281 : 1, 281
494 : 1, 2, 13, 19, 26, 38, 247, 494
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
152 : 1, 2, 4, 8, 19, 38, 76, 152
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,494,650,152, is 1.
Now, the common factors can be found like this.
281:281
494:2x 13x 19
650:2x 5x 5x 13
152:2x 2x 2x 19
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 13714823200/(1x988)
LCM = 13714823200/988
LCM = 13881400
Thus, we can understand that the LCM of 281,494,650,152 is 13881400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 281, 494, 650, 152?
Answer: LCM of 281, 494, 650, 152 is 13881400.
2. How to calculate the LCM of 281, 494, 650, 152?
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 281, 494, 650, 152.
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}.