LCM of 178, 802, 356, 732
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 178, 802, 356, 732 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, 802, 356, 732. So, keep reading to learn more.
Given numbers are 178,802,356,732
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 178,802,356,732 is 26124348.
Find LCM of 178,802,356,732 with Prime Factorization
| 2 | 178, 802, 356, 732 |
| 2 | 89, 401, 178, 366 |
| 89 | 89, 401, 89, 183 |
| 1, 401, 1, 183 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 89 x 1 x 401 x 1 x 183 = 26124348
Therefore, the lowest common multiple of 178,802,356,732 is 26124348.
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 802 x 356 x 732 = 37201071552
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
802 : 1, 2, 401, 802
356 : 1, 2, 4, 89, 178, 356
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 178,802,356,732, is 2.
Now, the common factors can be found like this.
178:2x 89
802:2x 401
356:2x 2x 89
732:2x 2x 3x 61
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 89 = 712
Therefore, the value for common factors is 712.
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 = 37201071552/(2x712)
LCM = 37201071552/1424
LCM = 26124348
Thus, we can understand that the LCM of 178,802,356,732 is 26124348.
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FAQs on LCM of 178, 802, 356, 732
1. What is the LCM of 178, 802, 356, 732?
Answer: LCM of 178, 802, 356, 732 is 26124348.
2. How to calculate the LCM of 178, 802, 356, 732?
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, 802, 356, 732.
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}.