LCM of 943, 912, 900, 633, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 943, 912, 900, 633, 962 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 943, 912, 900, 633, 962. So, keep reading to learn more.
Given numbers are 943,912,900,633,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 943,912,900,633,962 is 6546291289200.
Find LCM of 943,912,900,633,962 with Prime Factorization
| 2 | 943, 912, 900, 633, 962 |
| 2 | 943, 456, 450, 633, 481 |
| 3 | 943, 228, 225, 633, 481 |
| 943, 76, 75, 211, 481 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 943 x 76 x 75 x 211 x 481 = 6546291289200
Therefore, the lowest common multiple of 943,912,900,633,962 is 6546291289200.
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.
943 x 912 x 900 x 633 x 962 = 471332972822400
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.
943 : 1, 23, 41, 943
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
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
633 : 1, 3, 211, 633
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 943,912,900,633,962, is 1.
Now, the common factors can be found like this.
943:23x 41
912:2x 2x 2x 2x 3x 19
900:2x 2x 3x 3x 5x 5
633:3x 211
962:2x 13x 37
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 471332972822400/(1x72)
LCM = 471332972822400/72
LCM = 6546291289200
Thus, we can understand that the LCM of 943,912,900,633,962 is 6546291289200.
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FAQs on LCM of 943, 912, 900, 633, 962
1. What is the LCM of 943, 912, 900, 633, 962?
Answer: LCM of 943, 912, 900, 633, 962 is 6546291289200.
2. How to calculate the LCM of 943, 912, 900, 633, 962?
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 943, 912, 900, 633, 962.
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}.