LCM of 950, 747, 339, 893, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 747, 339, 893, 900 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 950, 747, 339, 893, 900. So, keep reading to learn more.
Given numbers are 950,747,339,893,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,747,339,893,900 is 7537902300.
Find LCM of 950,747,339,893,900 with Prime Factorization
| 2 | 950, 747, 339, 893, 900 |
| 3 | 475, 747, 339, 893, 450 |
| 3 | 475, 249, 113, 893, 150 |
| 5 | 475, 83, 113, 893, 50 |
| 5 | 95, 83, 113, 893, 10 |
| 19 | 19, 83, 113, 893, 2 |
| 1, 83, 113, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 19 x 1 x 83 x 113 x 47 x 2 = 7537902300
Therefore, the lowest common multiple of 950,747,339,893,900 is 7537902300.
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.
950 x 747 x 339 x 893 x 900 = 193347193995000
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
747 : 1, 3, 9, 83, 249, 747
339 : 1, 3, 113, 339
893 : 1, 19, 47, 893
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,747,339,893,900, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
747:3x 3x 83
339:3x 113
893:19x 47
900:2x 2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5x 19 = 25650
Therefore, the value for common factors is 25650.
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 = 193347193995000/(1x25650)
LCM = 193347193995000/25650
LCM = 7537902300
Thus, we can understand that the LCM of 950,747,339,893,900 is 7537902300.
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FAQs on LCM of 950, 747, 339, 893, 900
1. What is the LCM of 950, 747, 339, 893, 900?
Answer: LCM of 950, 747, 339, 893, 900 is 7537902300.
2. How to calculate the LCM of 950, 747, 339, 893, 900?
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 950, 747, 339, 893, 900.
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}.