Find the LCM of 460, 970, 881, 414, 524 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 460, 970, 881, 414, 524. So, keep reading to learn more.
Given numbers are 460,970,881,414,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,970,881,414,524 is 46346749380.
Find LCM of 460,970,881,414,524 with Prime Factorization
2 | 460, 970, 881, 414, 524 |
2 | 230, 485, 881, 207, 262 |
5 | 115, 485, 881, 207, 131 |
23 | 23, 97, 881, 207, 131 |
1, 97, 881, 9, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 23 x 1 x 97 x 881 x 9 x 131 = 46346749380
Therefore, the lowest common multiple of 460,970,881,414,524 is 46346749380.
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.
460 x 970 x 881 x 414 x 524 = 85278018859200
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
970 : 1, 2, 5, 10, 97, 194, 485, 970
881 : 1, 881
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,970,881,414,524, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
970:2x 5x 97
881:881
414:2x 3x 3x 23
524:2x 2x 131
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 2x 2x 5x 23 = 1840
Therefore, the value for common factors is 1840.
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 = 85278018859200/(1x1840)
LCM = 85278018859200/1840
LCM = 46346749380
Thus, we can understand that the LCM of 460,970,881,414,524 is 46346749380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 460, 970, 881, 414, 524?
Answer: LCM of 460, 970, 881, 414, 524 is 46346749380.
2. How to calculate the LCM of 460, 970, 881, 414, 524?
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 460, 970, 881, 414, 524.
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}.