LCM of 178, 297, 712, 401, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 297, 712, 401, 748 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 178, 297, 712, 401, 748. So, keep reading to learn more.
Given numbers are 178,297,712,401,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,297,712,401,748 is 1441550088.
Find LCM of 178,297,712,401,748 with Prime Factorization
| 2 | 178, 297, 712, 401, 748 |
| 2 | 89, 297, 356, 401, 374 |
| 11 | 89, 297, 178, 401, 187 |
| 89 | 89, 27, 178, 401, 17 |
| 1, 27, 2, 401, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 89 x 1 x 27 x 2 x 401 x 17 = 1441550088
Therefore, the lowest common multiple of 178,297,712,401,748 is 1441550088.
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.
178 x 297 x 712 x 401 x 748 = 11290220289216
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.
178 : 1, 2, 89, 178
297 : 1, 3, 9, 11, 27, 33, 99, 297
712 : 1, 2, 4, 8, 89, 178, 356, 712
401 : 1, 401
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,297,712,401,748, is 1.
Now, the common factors can be found like this.
178:2x 89
297:3x 3x 3x 11
712:2x 2x 2x 89
401:401
748:2x 2x 11x 17
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 11x 89 = 7832
Therefore, the value for common factors is 7832.
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 = 11290220289216/(1x7832)
LCM = 11290220289216/7832
LCM = 1441550088
Thus, we can understand that the LCM of 178,297,712,401,748 is 1441550088.
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FAQs on LCM of 178, 297, 712, 401, 748
1. What is the LCM of 178, 297, 712, 401, 748?
Answer: LCM of 178, 297, 712, 401, 748 is 1441550088.
2. How to calculate the LCM of 178, 297, 712, 401, 748?
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 178, 297, 712, 401, 748.
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}.