LCM of 849, 400, 372, 740, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 400, 372, 740, 847 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 849, 400, 372, 740, 847. So, keep reading to learn more.
Given numbers are 849,400,372,740,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,400,372,740,847 is 329924456400.
Find LCM of 849,400,372,740,847 with Prime Factorization
| 2 | 849, 400, 372, 740, 847 |
| 2 | 849, 200, 186, 370, 847 |
| 3 | 849, 100, 93, 185, 847 |
| 5 | 283, 100, 31, 185, 847 |
| 283, 20, 31, 37, 847 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 283 x 20 x 31 x 37 x 847 = 329924456400
Therefore, the lowest common multiple of 849,400,372,740,847 is 329924456400.
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.
849 x 400 x 372 x 740 x 847 = 79181869536000
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.
849 : 1, 3, 283, 849
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,400,372,740,847, is 1.
Now, the common factors can be found like this.
849:3x 283
400:2x 2x 2x 2x 5x 5
372:2x 2x 3x 31
740:2x 2x 5x 37
847:7x 11x 11
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 79181869536000/(1x240)
LCM = 79181869536000/240
LCM = 329924456400
Thus, we can understand that the LCM of 849,400,372,740,847 is 329924456400.
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FAQs on LCM of 849, 400, 372, 740, 847
1. What is the LCM of 849, 400, 372, 740, 847?
Answer: LCM of 849, 400, 372, 740, 847 is 329924456400.
2. How to calculate the LCM of 849, 400, 372, 740, 847?
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 849, 400, 372, 740, 847.
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}.