LCM of 152, 239, 420, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 152, 239, 420, 678 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 152, 239, 420, 678. So, keep reading to learn more.
Given numbers are 152,239,420,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,239,420,678 is 431031720.
Find LCM of 152,239,420,678 with Prime Factorization
| 2 | 152, 239, 420, 678 |
| 2 | 76, 239, 210, 339 |
| 3 | 38, 239, 105, 339 |
| 38, 239, 35, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 38 x 239 x 35 x 113 = 431031720
Therefore, the lowest common multiple of 152,239,420,678 is 431031720.
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.
152 x 239 x 420 x 678 = 10344761280
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
239 : 1, 239
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,239,420,678, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
239:239
420:2x 2x 3x 5x 7
678:2x 3x 113
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 3 = 24
Therefore, the value for common factors is 24.
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 = 10344761280/(1x24)
LCM = 10344761280/24
LCM = 431031720
Thus, we can understand that the LCM of 152,239,420,678 is 431031720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 152, 239, 420, 678
1. What is the LCM of 152, 239, 420, 678?
Answer: LCM of 152, 239, 420, 678 is 431031720.
2. How to calculate the LCM of 152, 239, 420, 678?
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 152, 239, 420, 678.
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}.