LCM of 357, 737, 180, 724, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 737, 180, 724, 850 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 357, 737, 180, 724, 850. So, keep reading to learn more.
Given numbers are 357,737,180,724,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,737,180,724,850 is 14286818700.
Find LCM of 357,737,180,724,850 with Prime Factorization
| 2 | 357, 737, 180, 724, 850 |
| 2 | 357, 737, 90, 362, 425 |
| 3 | 357, 737, 45, 181, 425 |
| 5 | 119, 737, 15, 181, 425 |
| 17 | 119, 737, 3, 181, 85 |
| 7, 737, 3, 181, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 7 x 737 x 3 x 181 x 5 = 14286818700
Therefore, the lowest common multiple of 357,737,180,724,850 is 14286818700.
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.
357 x 737 x 180 x 724 x 850 = 29145110148000
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
737 : 1, 11, 67, 737
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
724 : 1, 2, 4, 181, 362, 724
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,737,180,724,850, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
737:11x 67
180:2x 2x 3x 3x 5
724:2x 2x 181
850:2x 5x 5x 17
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 29145110148000/(1x2040)
LCM = 29145110148000/2040
LCM = 14286818700
Thus, we can understand that the LCM of 357,737,180,724,850 is 14286818700.
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FAQs on LCM of 357, 737, 180, 724, 850
1. What is the LCM of 357, 737, 180, 724, 850?
Answer: LCM of 357, 737, 180, 724, 850 is 14286818700.
2. How to calculate the LCM of 357, 737, 180, 724, 850?
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 357, 737, 180, 724, 850.
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}.