LCM of 975, 237, 850, 900, 743
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 975, 237, 850, 900, 743 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 975, 237, 850, 900, 743. So, keep reading to learn more.
Given numbers are 975,237,850,900,743
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 975,237,850,900,743 is 11674833300.
Find LCM of 975,237,850,900,743 with Prime Factorization
| 2 | 975, 237, 850, 900, 743 |
| 3 | 975, 237, 425, 450, 743 |
| 5 | 325, 79, 425, 150, 743 |
| 5 | 65, 79, 85, 30, 743 |
| 13, 79, 17, 6, 743 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 13 x 79 x 17 x 6 x 743 = 11674833300
Therefore, the lowest common multiple of 975,237,850,900,743 is 11674833300.
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.
975 x 237 x 850 x 900 x 743 = 131341874625000
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.
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
237 : 1, 3, 79, 237
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
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
743 : 1, 743
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,237,850,900,743, is 1.
Now, the common factors can be found like this.
975:3x 5x 5x 13
237:3x 79
850:2x 5x 5x 17
900:2x 2x 3x 3x 5x 5
743:743
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 5x 5x 5x 5 = 11250
Therefore, the value for common factors is 11250.
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 = 131341874625000/(1x11250)
LCM = 131341874625000/11250
LCM = 11674833300
Thus, we can understand that the LCM of 975,237,850,900,743 is 11674833300.
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FAQs on LCM of 975, 237, 850, 900, 743
1. What is the LCM of 975, 237, 850, 900, 743?
Answer: LCM of 975, 237, 850, 900, 743 is 11674833300.
2. How to calculate the LCM of 975, 237, 850, 900, 743?
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 975, 237, 850, 900, 743.
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}.