LCM of 182, 578, 948, 144, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 578, 948, 144, 971 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 182, 578, 948, 144, 971. So, keep reading to learn more.
Given numbers are 182,578,948,144,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,578,948,144,971 is 290501278704.
Find LCM of 182,578,948,144,971 with Prime Factorization
| 2 | 182, 578, 948, 144, 971 |
| 2 | 91, 289, 474, 72, 971 |
| 3 | 91, 289, 237, 36, 971 |
| 91, 289, 79, 12, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 91 x 289 x 79 x 12 x 971 = 290501278704
Therefore, the lowest common multiple of 182,578,948,144,971 is 290501278704.
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.
182 x 578 x 948 x 144 x 971 = 13944061377792
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
578 : 1, 2, 17, 34, 289, 578
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,578,948,144,971, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
578:2x 17x 17
948:2x 2x 3x 79
144:2x 2x 2x 2x 3x 3
971:971
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 = 13944061377792/(1x48)
LCM = 13944061377792/48
LCM = 290501278704
Thus, we can understand that the LCM of 182,578,948,144,971 is 290501278704.
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FAQs on LCM of 182, 578, 948, 144, 971
1. What is the LCM of 182, 578, 948, 144, 971?
Answer: LCM of 182, 578, 948, 144, 971 is 290501278704.
2. How to calculate the LCM of 182, 578, 948, 144, 971?
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 182, 578, 948, 144, 971.
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}.