LCM of 876, 700, 898, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 876, 700, 898, 945 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 876, 700, 898, 945. So, keep reading to learn more.
Given numbers are 876,700,898,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 876,700,898,945 is 619485300.
Find LCM of 876,700,898,945 with Prime Factorization
| 2 | 876, 700, 898, 945 |
| 2 | 438, 350, 449, 945 |
| 3 | 219, 175, 449, 945 |
| 5 | 73, 175, 449, 315 |
| 7 | 73, 35, 449, 63 |
| 73, 5, 449, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 73 x 5 x 449 x 9 = 619485300
Therefore, the lowest common multiple of 876,700,898,945 is 619485300.
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.
876 x 700 x 898 x 945 = 520367652000
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.
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
898 : 1, 2, 449, 898
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,700,898,945, is 1.
Now, the common factors can be found like this.
876:2x 2x 3x 73
700:2x 2x 5x 5x 7
898:2x 449
945:3x 3x 3x 5x 7
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 7 = 840
Therefore, the value for common factors is 840.
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 = 520367652000/(1x840)
LCM = 520367652000/840
LCM = 619485300
Thus, we can understand that the LCM of 876,700,898,945 is 619485300.
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FAQs on LCM of 876, 700, 898, 945
1. What is the LCM of 876, 700, 898, 945?
Answer: LCM of 876, 700, 898, 945 is 619485300.
2. How to calculate the LCM of 876, 700, 898, 945?
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 876, 700, 898, 945.
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}.