LCM of 578, 372, 156, 308
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 372, 156, 308 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, 372, 156, 308. So, keep reading to learn more.
Given numbers are 578,372,156,308
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,372,156,308 is 107615508.
Find LCM of 578,372,156,308 with Prime Factorization
| 2 | 578, 372, 156, 308 |
| 2 | 289, 186, 78, 154 |
| 3 | 289, 93, 39, 77 |
| 289, 31, 13, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 289 x 31 x 13 x 77 = 107615508
Therefore, the lowest common multiple of 578,372,156,308 is 107615508.
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 372 x 156 x 308 = 10331088768
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,372,156,308, is 2.
Now, the common factors can be found like this.
578:2x 17x 17
372:2x 2x 3x 31
156:2x 2x 3x 13
308:2x 2x 7x 11
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 3 = 48
Therefore, the value for common factors is 48.
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 = 10331088768/(2x48)
LCM = 10331088768/96
LCM = 107615508
Thus, we can understand that the LCM of 578,372,156,308 is 107615508.
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FAQs on LCM of 578, 372, 156, 308
1. What is the LCM of 578, 372, 156, 308?
Answer: LCM of 578, 372, 156, 308 is 107615508.
2. How to calculate the LCM of 578, 372, 156, 308?
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, 372, 156, 308.
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}.