LCM of 890, 823, 573, 312, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 890, 823, 573, 312, 807 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 890, 823, 573, 312, 807. So, keep reading to learn more.
Given numbers are 890,823,573,312,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 890,823,573,312,807 is 5870837876280.
Find LCM of 890,823,573,312,807 with Prime Factorization
| 2 | 890, 823, 573, 312, 807 |
| 3 | 445, 823, 573, 156, 807 |
| 445, 823, 191, 52, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 445 x 823 x 191 x 52 x 269 = 5870837876280
Therefore, the lowest common multiple of 890,823,573,312,807 is 5870837876280.
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.
890 x 823 x 573 x 312 x 807 = 105675081773040
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.
890 : 1, 2, 5, 10, 89, 178, 445, 890
823 : 1, 823
573 : 1, 3, 191, 573
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 890,823,573,312,807, is 1.
Now, the common factors can be found like this.
890:2x 5x 89
823:823
573:3x 191
312:2x 2x 2x 3x 13
807:3x 269
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 3 = 18
Therefore, the value for common factors is 18.
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 = 105675081773040/(1x18)
LCM = 105675081773040/18
LCM = 5870837876280
Thus, we can understand that the LCM of 890,823,573,312,807 is 5870837876280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 890, 823, 573, 312, 807
1. What is the LCM of 890, 823, 573, 312, 807?
Answer: LCM of 890, 823, 573, 312, 807 is 5870837876280.
2. How to calculate the LCM of 890, 823, 573, 312, 807?
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 890, 823, 573, 312, 807.
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}.