Find the LCM of 849, 348, 472, 900, 137 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 849, 348, 472, 900, 137. So, keep reading to learn more.
Given numbers are 849,348,472,900,137
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,348,472,900,137 is 119406925800.
Find LCM of 849,348,472,900,137 with Prime Factorization
2 | 849, 348, 472, 900, 137 |
2 | 849, 174, 236, 450, 137 |
3 | 849, 87, 118, 225, 137 |
283, 29, 118, 75, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 283 x 29 x 118 x 75 x 137 = 119406925800
Therefore, the lowest common multiple of 849,348,472,900,137 is 119406925800.
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.
849 x 348 x 472 x 900 x 137 = 17194597315200
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.
849 : 1, 3, 283, 849
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
472 : 1, 2, 4, 8, 59, 118, 236, 472
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
137 : 1, 137
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,348,472,900,137, is 1.
Now, the common factors can be found like this.
849:3x 283
348:2x 2x 3x 29
472:2x 2x 2x 59
900:2x 2x 3x 3x 5x 5
137:137
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 17194597315200/(1x144)
LCM = 17194597315200/144
LCM = 119406925800
Thus, we can understand that the LCM of 849,348,472,900,137 is 119406925800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 348, 472, 900, 137?
Answer: LCM of 849, 348, 472, 900, 137 is 119406925800.
2. How to calculate the LCM of 849, 348, 472, 900, 137?
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 849, 348, 472, 900, 137.
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}.