LCM of 156, 508, 192, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 156, 508, 192, 988 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, 508, 192, 988. So, keep reading to learn more.
Given numbers are 156,508,192,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,508,192,988 is 6022848.
Find LCM of 156,508,192,988 with Prime Factorization
| 2 | 156, 508, 192, 988 |
| 2 | 78, 254, 96, 494 |
| 3 | 39, 127, 48, 247 |
| 13 | 13, 127, 16, 247 |
| 1, 127, 16, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 1 x 127 x 16 x 19 = 6022848
Therefore, the lowest common multiple of 156,508,192,988 is 6022848.
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 508 x 192 x 988 = 15033028608
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
508 : 1, 2, 4, 127, 254, 508
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,508,192,988, is 4.
Now, the common factors can be found like this.
156:2x 2x 3x 13
508:2x 2x 127
192:2x 2x 2x 2x 2x 2x 3
988:2x 2x 13x 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 13 = 624
Therefore, the value for common factors is 624.
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 = 15033028608/(4x624)
LCM = 15033028608/2496
LCM = 6022848
Thus, we can understand that the LCM of 156,508,192,988 is 6022848.
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FAQs on LCM of 156, 508, 192, 988
1. What is the LCM of 156, 508, 192, 988?
Answer: LCM of 156, 508, 192, 988 is 6022848.
2. How to calculate the LCM of 156, 508, 192, 988?
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, 508, 192, 988.
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}.