LCM of 578, 156, 107, 247, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 156, 107, 247, 756 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 578, 156, 107, 247, 756. So, keep reading to learn more.
Given numbers are 578,156,107,247,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,156,107,247,756 is 5774313636.
Find LCM of 578,156,107,247,756 with Prime Factorization
| 2 | 578, 156, 107, 247, 756 |
| 2 | 289, 78, 107, 247, 378 |
| 3 | 289, 39, 107, 247, 189 |
| 13 | 289, 13, 107, 247, 63 |
| 289, 1, 107, 19, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 289 x 1 x 107 x 19 x 63 = 5774313636
Therefore, the lowest common multiple of 578,156,107,247,756 is 5774313636.
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.
578 x 156 x 107 x 247 x 756 = 1801585854432
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.
578 : 1, 2, 17, 34, 289, 578
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
107 : 1, 107
247 : 1, 13, 19, 247
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,156,107,247,756, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
156:2x 2x 3x 13
107:107
247:13x 19
756:2x 2x 3x 3x 3x 7
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 3x 13 = 312
Therefore, the value for common factors is 312.
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 = 1801585854432/(1x312)
LCM = 1801585854432/312
LCM = 5774313636
Thus, we can understand that the LCM of 578,156,107,247,756 is 5774313636.
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FAQs on LCM of 578, 156, 107, 247, 756
1. What is the LCM of 578, 156, 107, 247, 756?
Answer: LCM of 578, 156, 107, 247, 756 is 5774313636.
2. How to calculate the LCM of 578, 156, 107, 247, 756?
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 578, 156, 107, 247, 756.
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}.