LCM of 100, 123, 985, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 123, 985, 420 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 100, 123, 985, 420. So, keep reading to learn more.
Given numbers are 100,123,985,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,123,985,420 is 16961700.
Find LCM of 100,123,985,420 with Prime Factorization
| 2 | 100, 123, 985, 420 |
| 2 | 50, 123, 985, 210 |
| 3 | 25, 123, 985, 105 |
| 5 | 25, 41, 985, 35 |
| 5, 41, 197, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 41 x 197 x 7 = 16961700
Therefore, the lowest common multiple of 100,123,985,420 is 16961700.
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.
100 x 123 x 985 x 420 = 5088510000
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
123 : 1, 3, 41, 123
985 : 1, 5, 197, 985
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,123,985,420, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
123:3x 41
985:5x 197
420:2x 2x 3x 5x 7
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 3x 5x 5 = 300
Therefore, the value for common factors is 300.
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 = 5088510000/(1x300)
LCM = 5088510000/300
LCM = 16961700
Thus, we can understand that the LCM of 100,123,985,420 is 16961700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 100, 123, 985, 420
1. What is the LCM of 100, 123, 985, 420?
Answer: LCM of 100, 123, 985, 420 is 16961700.
2. How to calculate the LCM of 100, 123, 985, 420?
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 100, 123, 985, 420.
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}.