LCM of 948, 901, 357, 384, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 901, 357, 384, 180 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 948, 901, 357, 384, 180. So, keep reading to learn more.
Given numbers are 948,901,357,384,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,901,357,384,180 is 2869937280.
Find LCM of 948,901,357,384,180 with Prime Factorization
| 2 | 948, 901, 357, 384, 180 |
| 2 | 474, 901, 357, 192, 90 |
| 3 | 237, 901, 357, 96, 45 |
| 17 | 79, 901, 119, 32, 15 |
| 79, 53, 7, 32, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 79 x 53 x 7 x 32 x 15 = 2869937280
Therefore, the lowest common multiple of 948,901,357,384,180 is 2869937280.
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.
948 x 901 x 357 x 384 x 180 = 21076819384320
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
901 : 1, 17, 53, 901
357 : 1, 3, 7, 17, 21, 51, 119, 357
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,901,357,384,180, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
901:17x 53
357:3x 7x 17
384:2x 2x 2x 2x 2x 2x 2x 3
180:2x 2x 3x 3x 5
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 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 21076819384320/(1x7344)
LCM = 21076819384320/7344
LCM = 2869937280
Thus, we can understand that the LCM of 948,901,357,384,180 is 2869937280.
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FAQs on LCM of 948, 901, 357, 384, 180
1. What is the LCM of 948, 901, 357, 384, 180?
Answer: LCM of 948, 901, 357, 384, 180 is 2869937280.
2. How to calculate the LCM of 948, 901, 357, 384, 180?
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 948, 901, 357, 384, 180.
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}.