LCM of 881, 680, 624, 844, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 881, 680, 624, 844, 900 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 881, 680, 624, 844, 900. So, keep reading to learn more.
Given numbers are 881,680,624,844,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 881,680,624,844,900 is 147894879600.
Find LCM of 881,680,624,844,900 with Prime Factorization
| 2 | 881, 680, 624, 844, 900 |
| 2 | 881, 340, 312, 422, 450 |
| 2 | 881, 170, 156, 211, 225 |
| 3 | 881, 85, 78, 211, 225 |
| 5 | 881, 85, 26, 211, 75 |
| 881, 17, 26, 211, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 881 x 17 x 26 x 211 x 15 = 147894879600
Therefore, the lowest common multiple of 881,680,624,844,900 is 147894879600.
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.
881 x 680 x 624 x 844 x 900 = 283958168832000
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.
881 : 1, 881
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
844 : 1, 2, 4, 211, 422, 844
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 881,680,624,844,900, is 1.
Now, the common factors can be found like this.
881:881
680:2x 2x 2x 5x 17
624:2x 2x 2x 2x 3x 13
844:2x 2x 211
900:2x 2x 3x 3x 5x 5
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 2x 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 283958168832000/(1x1920)
LCM = 283958168832000/1920
LCM = 147894879600
Thus, we can understand that the LCM of 881,680,624,844,900 is 147894879600.
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FAQs on LCM of 881, 680, 624, 844, 900
1. What is the LCM of 881, 680, 624, 844, 900?
Answer: LCM of 881, 680, 624, 844, 900 is 147894879600.
2. How to calculate the LCM of 881, 680, 624, 844, 900?
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 881, 680, 624, 844, 900.
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}.