LCM of 156, 390, 578, 314, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 156, 390, 578, 314, 456 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 156, 390, 578, 314, 456. So, keep reading to learn more.
Given numbers are 156,390,578,314,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,390,578,314,456 is 1344855720.
Find LCM of 156,390,578,314,456 with Prime Factorization
| 2 | 156, 390, 578, 314, 456 |
| 2 | 78, 195, 289, 157, 228 |
| 3 | 39, 195, 289, 157, 114 |
| 13 | 13, 65, 289, 157, 38 |
| 1, 5, 289, 157, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 1 x 5 x 289 x 157 x 38 = 1344855720
Therefore, the lowest common multiple of 156,390,578,314,456 is 1344855720.
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.
156 x 390 x 578 x 314 x 456 = 5035139815680
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
578 : 1, 2, 17, 34, 289, 578
314 : 1, 2, 157, 314
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,390,578,314,456, is 2.
Now, the common factors can be found like this.
156:2x 2x 3x 13
390:2x 3x 5x 13
578:2x 17x 17
314:2x 157
456:2x 2x 2x 3x 19
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 3x 3x 13 = 1872
Therefore, the value for common factors is 1872.
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 = 5035139815680/(2x1872)
LCM = 5035139815680/3744
LCM = 1344855720
Thus, we can understand that the LCM of 156,390,578,314,456 is 1344855720.
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FAQs on LCM of 156, 390, 578, 314, 456
1. What is the LCM of 156, 390, 578, 314, 456?
Answer: LCM of 156, 390, 578, 314, 456 is 1344855720.
2. How to calculate the LCM of 156, 390, 578, 314, 456?
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 156, 390, 578, 314, 456.
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}.