LCM of 621, 473, 846, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 473, 846, 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 621, 473, 846, 945. So, keep reading to learn more.
Given numbers are 621,473,846,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,473,846,945 is 966381570.
Find LCM of 621,473,846,945 with Prime Factorization
| 3 | 621, 473, 846, 945 |
| 3 | 207, 473, 282, 315 |
| 3 | 69, 473, 94, 105 |
| 23, 473, 94, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 23 x 473 x 94 x 35 = 966381570
Therefore, the lowest common multiple of 621,473,846,945 is 966381570.
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.
621 x 473 x 846 x 945 = 234830721510
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
473 : 1, 11, 43, 473
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
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 621,473,846,945, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
473:11x 43
846:2x 3x 3x 47
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.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 234830721510/(1x243)
LCM = 234830721510/243
LCM = 966381570
Thus, we can understand that the LCM of 621,473,846,945 is 966381570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 621, 473, 846, 945
1. What is the LCM of 621, 473, 846, 945?
Answer: LCM of 621, 473, 846, 945 is 966381570.
2. How to calculate the LCM of 621, 473, 846, 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 621, 473, 846, 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}.