LCM of 945, 428, 603, 286, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 428, 603, 286, 195 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, 428, 603, 286, 195. So, keep reading to learn more.
Given numbers are 945,428,603,286,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,428,603,286,195 is 3875131260.
Find LCM of 945,428,603,286,195 with Prime Factorization
| 2 | 945, 428, 603, 286, 195 |
| 3 | 945, 214, 603, 143, 195 |
| 3 | 315, 214, 201, 143, 65 |
| 5 | 105, 214, 67, 143, 65 |
| 13 | 21, 214, 67, 143, 13 |
| 21, 214, 67, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 21 x 214 x 67 x 11 x 1 = 3875131260
Therefore, the lowest common multiple of 945,428,603,286,195 is 3875131260.
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 428 x 603 x 286 x 195 = 13601710722600
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
428 : 1, 2, 4, 107, 214, 428
603 : 1, 3, 9, 67, 201, 603
286 : 1, 2, 11, 13, 22, 26, 143, 286
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,428,603,286,195, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
428:2x 2x 107
603:3x 3x 67
286:2x 11x 13
195:3x 5x 13
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 13 = 3510
Therefore, the value for common factors is 3510.
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 = 13601710722600/(1x3510)
LCM = 13601710722600/3510
LCM = 3875131260
Thus, we can understand that the LCM of 945,428,603,286,195 is 3875131260.
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FAQs on LCM of 945, 428, 603, 286, 195
1. What is the LCM of 945, 428, 603, 286, 195?
Answer: LCM of 945, 428, 603, 286, 195 is 3875131260.
2. How to calculate the LCM of 945, 428, 603, 286, 195?
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, 428, 603, 286, 195.
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}.