LCM of 976, 213, 100, 107
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 976, 213, 100, 107 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 976, 213, 100, 107. So, keep reading to learn more.
Given numbers are 976,213,100,107
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 976,213,100,107 is 556100400.
Find LCM of 976,213,100,107 with Prime Factorization
| 2 | 976, 213, 100, 107 |
| 2 | 488, 213, 50, 107 |
| 244, 213, 25, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 244 x 213 x 25 x 107 = 556100400
Therefore, the lowest common multiple of 976,213,100,107 is 556100400.
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.
976 x 213 x 100 x 107 = 2224401600
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.
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
213 : 1, 3, 71, 213
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
107 : 1, 107
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,213,100,107, is 1.
Now, the common factors can be found like this.
976:2x 2x 2x 2x 61
213:3x 71
100:2x 2x 5x 5
107:107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 2224401600/(1x4)
LCM = 2224401600/4
LCM = 556100400
Thus, we can understand that the LCM of 976,213,100,107 is 556100400.
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FAQs on LCM of 976, 213, 100, 107
1. What is the LCM of 976, 213, 100, 107?
Answer: LCM of 976, 213, 100, 107 is 556100400.
2. How to calculate the LCM of 976, 213, 100, 107?
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 976, 213, 100, 107.
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}.