LCM of 783, 156, 524, 468, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 156, 524, 468, 724 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 783, 156, 524, 468, 724. So, keep reading to learn more.
Given numbers are 783,156,524,468,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,156,524,468,724 is 965417076.
Find LCM of 783,156,524,468,724 with Prime Factorization
| 2 | 783, 156, 524, 468, 724 |
| 2 | 783, 78, 262, 234, 362 |
| 3 | 783, 39, 131, 117, 181 |
| 3 | 261, 13, 131, 39, 181 |
| 13 | 87, 13, 131, 13, 181 |
| 87, 1, 131, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 87 x 1 x 131 x 1 x 181 = 965417076
Therefore, the lowest common multiple of 783,156,524,468,724 is 965417076.
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.
783 x 156 x 524 x 468 x 724 = 21687129195264
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
524 : 1, 2, 4, 131, 262, 524
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,156,524,468,724, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
156:2x 2x 3x 13
524:2x 2x 131
468:2x 2x 3x 3x 13
724:2x 2x 181
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 2x 2x 2x 2x 3x 3x 3x 13 = 22464
Therefore, the value for common factors is 22464.
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 = 21687129195264/(1x22464)
LCM = 21687129195264/22464
LCM = 965417076
Thus, we can understand that the LCM of 783,156,524,468,724 is 965417076.
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FAQs on LCM of 783, 156, 524, 468, 724
1. What is the LCM of 783, 156, 524, 468, 724?
Answer: LCM of 783, 156, 524, 468, 724 is 965417076.
2. How to calculate the LCM of 783, 156, 524, 468, 724?
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 783, 156, 524, 468, 724.
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}.