Find the LCM of 469, 452, 995, 440, 532 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 469, 452, 995, 440, 532. So, keep reading to learn more.
Given numbers are 469,452,995,440,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,452,995,440,532 is 88167929080.
Find LCM of 469,452,995,440,532 with Prime Factorization
2 | 469, 452, 995, 440, 532 |
2 | 469, 226, 995, 220, 266 |
5 | 469, 113, 995, 110, 133 |
7 | 469, 113, 199, 22, 133 |
67, 113, 199, 22, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 67 x 113 x 199 x 22 x 19 = 88167929080
Therefore, the lowest common multiple of 469,452,995,440,532 is 88167929080.
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.
469 x 452 x 995 x 440 x 532 = 49374040284800
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.
469 : 1, 7, 67, 469
452 : 1, 2, 4, 113, 226, 452
995 : 1, 5, 199, 995
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,452,995,440,532, is 1.
Now, the common factors can be found like this.
469:7x 67
452:2x 2x 113
995:5x 199
440:2x 2x 2x 5x 11
532:2x 2x 7x 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 2x 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 49374040284800/(1x560)
LCM = 49374040284800/560
LCM = 88167929080
Thus, we can understand that the LCM of 469,452,995,440,532 is 88167929080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 452, 995, 440, 532?
Answer: LCM of 469, 452, 995, 440, 532 is 88167929080.
2. How to calculate the LCM of 469, 452, 995, 440, 532?
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 469, 452, 995, 440, 532.
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}.