Find the LCM of 153, 941, 830, 860, 820 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 153, 941, 830, 860, 820. So, keep reading to learn more.
Given numbers are 153,941,830,860,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,941,830,860,820 is 421348502340.
Find LCM of 153,941,830,860,820 with Prime Factorization
2 | 153, 941, 830, 860, 820 |
2 | 153, 941, 415, 430, 410 |
5 | 153, 941, 415, 215, 205 |
153, 941, 83, 43, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 153 x 941 x 83 x 43 x 41 = 421348502340
Therefore, the lowest common multiple of 153,941,830,860,820 is 421348502340.
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.
153 x 941 x 830 x 860 x 820 = 84269700468000
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.
153 : 1, 3, 9, 17, 51, 153
941 : 1, 941
830 : 1, 2, 5, 10, 83, 166, 415, 830
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,941,830,860,820, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
941:941
830:2x 5x 83
860:2x 2x 5x 43
820:2x 2x 5x 41
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 = 84269700468000/(1x200)
LCM = 84269700468000/200
LCM = 421348502340
Thus, we can understand that the LCM of 153,941,830,860,820 is 421348502340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 153, 941, 830, 860, 820?
Answer: LCM of 153, 941, 830, 860, 820 is 421348502340.
2. How to calculate the LCM of 153, 941, 830, 860, 820?
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 153, 941, 830, 860, 820.
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}.