LCM of 945, 609, 975, 117, 876
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 609, 975, 117, 876 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, 609, 975, 117, 876. So, keep reading to learn more.
Given numbers are 945,609,975,117,876
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,609,975,117,876 is 520146900.
Find LCM of 945,609,975,117,876 with Prime Factorization
| 3 | 945, 609, 975, 117, 876 |
| 3 | 315, 203, 325, 39, 292 |
| 5 | 105, 203, 325, 13, 292 |
| 7 | 21, 203, 65, 13, 292 |
| 13 | 3, 29, 65, 13, 292 |
| 3, 29, 5, 1, 292 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 13 x 3 x 29 x 5 x 1 x 292 = 520146900
Therefore, the lowest common multiple of 945,609,975,117,876 is 520146900.
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 609 x 975 x 117 x 876 = 57510041998500
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
117 : 1, 3, 9, 13, 39, 117
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,609,975,117,876, is 3.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
609:3x 7x 29
975:3x 5x 5x 13
117:3x 3x 13
876:2x 2x 3x 73
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 5x 7x 13 = 36855
Therefore, the value for common factors is 36855.
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 = 57510041998500/(3x36855)
LCM = 57510041998500/110565
LCM = 520146900
Thus, we can understand that the LCM of 945,609,975,117,876 is 520146900.
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FAQs on LCM of 945, 609, 975, 117, 876
1. What is the LCM of 945, 609, 975, 117, 876?
Answer: LCM of 945, 609, 975, 117, 876 is 520146900.
2. How to calculate the LCM of 945, 609, 975, 117, 876?
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, 609, 975, 117, 876.
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}.