Find the LCM of 532, 525, 505, 347, 950 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 532, 525, 505, 347, 950. So, keep reading to learn more.
Given numbers are 532,525,505,347,950
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,525,505,347,950 is 1398375300.
Find LCM of 532,525,505,347,950 with Prime Factorization
2 | 532, 525, 505, 347, 950 |
5 | 266, 525, 505, 347, 475 |
5 | 266, 105, 101, 347, 95 |
7 | 266, 21, 101, 347, 19 |
19 | 38, 3, 101, 347, 19 |
2, 3, 101, 347, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 19 x 2 x 3 x 101 x 347 x 1 = 1398375300
Therefore, the lowest common multiple of 532,525,505,347,950 is 1398375300.
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.
532 x 525 x 505 x 347 x 950 = 46495978725000
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
505 : 1, 5, 101, 505
347 : 1, 347
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,525,505,347,950, is 1.
Now, the common factors can be found like this.
532:2x 2x 7x 19
525:3x 5x 5x 7
505:5x 101
347:347
950:2x 5x 5x 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 5x 5x 5x 7x 19 = 33250
Therefore, the value for common factors is 33250.
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 = 46495978725000/(1x33250)
LCM = 46495978725000/33250
LCM = 1398375300
Thus, we can understand that the LCM of 532,525,505,347,950 is 1398375300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 532, 525, 505, 347, 950?
Answer: LCM of 532, 525, 505, 347, 950 is 1398375300.
2. How to calculate the LCM of 532, 525, 505, 347, 950?
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 532, 525, 505, 347, 950.
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}.