Find the LCM of 635, 989, 625, 680, 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 635, 989, 625, 680, 152. So, keep reading to learn more.
Given numbers are 635,989,625,680,152
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,989,625,680,152 is 202848845000.
Find LCM of 635,989,625,680,152 with Prime Factorization
2 | 635, 989, 625, 680, 152 |
2 | 635, 989, 625, 340, 76 |
2 | 635, 989, 625, 170, 38 |
5 | 635, 989, 625, 85, 19 |
127, 989, 125, 17, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 127 x 989 x 125 x 17 x 19 = 202848845000
Therefore, the lowest common multiple of 635,989,625,680,152 is 202848845000.
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.
635 x 989 x 625 x 680 x 152 = 40569769000000
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.
635 : 1, 5, 127, 635
989 : 1, 23, 43, 989
625 : 1, 5, 25, 125, 625
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 635,989,625,680,152, is 1.
Now, the common factors can be found like this.
635:5x 127
989:23x 43
625:5x 5x 5x 5
680:2x 2x 2x 5x 17
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 2x 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 40569769000000/(1x200)
LCM = 40569769000000/200
LCM = 202848845000
Thus, we can understand that the LCM of 635,989,625,680,152 is 202848845000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 989, 625, 680, 152?
Answer: LCM of 635, 989, 625, 680, 152 is 202848845000.
2. How to calculate the LCM of 635, 989, 625, 680, 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 635, 989, 625, 680, 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}.