LCM of 355, 380, 722, 178
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 355, 380, 722, 178 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 355, 380, 722, 178. So, keep reading to learn more.
Given numbers are 355,380,722,178
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,380,722,178 is 45623180.
Find LCM of 355,380,722,178 with Prime Factorization
| 2 | 355, 380, 722, 178 |
| 5 | 355, 190, 361, 89 |
| 19 | 71, 38, 361, 89 |
| 71, 2, 19, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 71 x 2 x 19 x 89 = 45623180
Therefore, the lowest common multiple of 355,380,722,178 is 45623180.
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.
355 x 380 x 722 x 178 = 17336808400
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.
355 : 1, 5, 71, 355
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
722 : 1, 2, 19, 38, 361, 722
178 : 1, 2, 89, 178
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,380,722,178, is 1.
Now, the common factors can be found like this.
355:5x 71
380:2x 2x 5x 19
722:2x 19x 19
178:2x 89
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 5x 19 = 380
Therefore, the value for common factors is 380.
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 = 17336808400/(1x380)
LCM = 17336808400/380
LCM = 45623180
Thus, we can understand that the LCM of 355,380,722,178 is 45623180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 355, 380, 722, 178
1. What is the LCM of 355, 380, 722, 178?
Answer: LCM of 355, 380, 722, 178 is 45623180.
2. How to calculate the LCM of 355, 380, 722, 178?
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 355, 380, 722, 178.
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}.