LCM of 965, 630, 150, 351, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 630, 150, 351, 312 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 965, 630, 150, 351, 312. So, keep reading to learn more.
Given numbers are 965,630,150,351,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,630,150,351,312 is 94840200.
Find LCM of 965,630,150,351,312 with Prime Factorization
| 2 | 965, 630, 150, 351, 312 |
| 3 | 965, 315, 75, 351, 156 |
| 3 | 965, 105, 25, 117, 52 |
| 5 | 965, 35, 25, 39, 52 |
| 13 | 193, 7, 5, 39, 52 |
| 193, 7, 5, 3, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 193 x 7 x 5 x 3 x 4 = 94840200
Therefore, the lowest common multiple of 965,630,150,351,312 is 94840200.
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.
965 x 630 x 150 x 351 x 312 = 9986673060000
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.
965 : 1, 5, 193, 965
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
351 : 1, 3, 9, 13, 27, 39, 117, 351
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,630,150,351,312, is 1.
Now, the common factors can be found like this.
965:5x 193
630:2x 3x 3x 5x 7
150:2x 3x 5x 5
351:3x 3x 3x 13
312:2x 2x 2x 3x 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 2x 3x 3x 3x 3x 5x 5x 13 = 105300
Therefore, the value for common factors is 105300.
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 = 9986673060000/(1x105300)
LCM = 9986673060000/105300
LCM = 94840200
Thus, we can understand that the LCM of 965,630,150,351,312 is 94840200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 965, 630, 150, 351, 312
1. What is the LCM of 965, 630, 150, 351, 312?
Answer: LCM of 965, 630, 150, 351, 312 is 94840200.
2. How to calculate the LCM of 965, 630, 150, 351, 312?
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 965, 630, 150, 351, 312.
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}.