LCM of 561, 945, 735, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 945, 735, 870 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 561, 945, 735, 870. So, keep reading to learn more.
Given numbers are 561,945,735,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,945,735,870 is 71746290.
Find LCM of 561,945,735,870 with Prime Factorization
| 3 | 561, 945, 735, 870 |
| 5 | 187, 315, 245, 290 |
| 7 | 187, 63, 49, 58 |
| 187, 9, 7, 58 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 187 x 9 x 7 x 58 = 71746290
Therefore, the lowest common multiple of 561,945,735,870 is 71746290.
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.
561 x 945 x 735 x 870 = 339001220250
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,945,735,870, is 3.
Now, the common factors can be found like this.
561:3x 11x 17
945:3x 3x 3x 5x 7
735:3x 5x 7x 7
870:2x 3x 5x 29
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 5x 5x 7 = 1575
Therefore, the value for common factors is 1575.
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 = 339001220250/(3x1575)
LCM = 339001220250/4725
LCM = 71746290
Thus, we can understand that the LCM of 561,945,735,870 is 71746290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 561, 945, 735, 870
1. What is the LCM of 561, 945, 735, 870?
Answer: LCM of 561, 945, 735, 870 is 71746290.
2. How to calculate the LCM of 561, 945, 735, 870?
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 561, 945, 735, 870.
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}.