LCM of 437, 322, 573, 840, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 322, 573, 840, 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 437, 322, 573, 840, 847. So, keep reading to learn more.
Given numbers are 437,322,573,840,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,322,573,840,847 is 8483585880.
Find LCM of 437,322,573,840,847 with Prime Factorization
| 2 | 437, 322, 573, 840, 847 |
| 3 | 437, 161, 573, 420, 847 |
| 7 | 437, 161, 191, 140, 847 |
| 23 | 437, 23, 191, 20, 121 |
| 19, 1, 191, 20, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 19 x 1 x 191 x 20 x 121 = 8483585880
Therefore, the lowest common multiple of 437,322,573,840,847 is 8483585880.
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.
437 x 322 x 573 x 840 x 847 = 57366007720560
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.
437 : 1, 19, 23, 437
322 : 1, 2, 7, 14, 23, 46, 161, 322
573 : 1, 3, 191, 573
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
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 437,322,573,840,847, is 1.
Now, the common factors can be found like this.
437:19x 23
322:2x 7x 23
573:3x 191
840:2x 2x 2x 3x 5x 7
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 3x 7x 7x 23 = 6762
Therefore, the value for common factors is 6762.
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 = 57366007720560/(1x6762)
LCM = 57366007720560/6762
LCM = 8483585880
Thus, we can understand that the LCM of 437,322,573,840,847 is 8483585880.
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FAQs on LCM of 437, 322, 573, 840, 847
1. What is the LCM of 437, 322, 573, 840, 847?
Answer: LCM of 437, 322, 573, 840, 847 is 8483585880.
2. How to calculate the LCM of 437, 322, 573, 840, 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 437, 322, 573, 840, 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}.