LCM of 945, 745, 612, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 745, 612, 510 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 945, 745, 612, 510. So, keep reading to learn more.
Given numbers are 945,745,612,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,745,612,510 is 9574740.
Find LCM of 945,745,612,510 with Prime Factorization
| 2 | 945, 745, 612, 510 |
| 3 | 945, 745, 306, 255 |
| 3 | 315, 745, 102, 85 |
| 5 | 105, 745, 34, 85 |
| 17 | 21, 149, 34, 17 |
| 21, 149, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 21 x 149 x 2 x 1 = 9574740
Therefore, the lowest common multiple of 945,745,612,510 is 9574740.
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.
945 x 745 x 612 x 510 = 219740283000
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
745 : 1, 5, 149, 745
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,745,612,510, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
745:5x 149
612:2x 2x 3x 3x 17
510:2x 3x 5x 17
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 3x 3x 5x 5x 17 = 22950
Therefore, the value for common factors is 22950.
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 = 219740283000/(1x22950)
LCM = 219740283000/22950
LCM = 9574740
Thus, we can understand that the LCM of 945,745,612,510 is 9574740.
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FAQs on LCM of 945, 745, 612, 510
1. What is the LCM of 945, 745, 612, 510?
Answer: LCM of 945, 745, 612, 510 is 9574740.
2. How to calculate the LCM of 945, 745, 612, 510?
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 945, 745, 612, 510.
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}.