LCM of 474, 455, 210, 370, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 455, 210, 370, 385 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 474, 455, 210, 370, 385. So, keep reading to learn more.
Given numbers are 474,455,210,370,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,455,210,370,385 is 87777690.
Find LCM of 474,455,210,370,385 with Prime Factorization
| 2 | 474, 455, 210, 370, 385 |
| 3 | 237, 455, 105, 185, 385 |
| 5 | 79, 455, 35, 185, 385 |
| 7 | 79, 91, 7, 37, 77 |
| 79, 13, 1, 37, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 79 x 13 x 1 x 37 x 11 = 87777690
Therefore, the lowest common multiple of 474,455,210,370,385 is 87777690.
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.
474 x 455 x 210 x 370 x 385 = 6451660215000
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
455 : 1, 5, 7, 13, 35, 65, 91, 455
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
370 : 1, 2, 5, 10, 37, 74, 185, 370
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,455,210,370,385, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
455:5x 7x 13
210:2x 3x 5x 7
370:2x 5x 37
385:5x 7x 11
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 3x 5x 5x 5x 7x 7 = 73500
Therefore, the value for common factors is 73500.
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 = 6451660215000/(1x73500)
LCM = 6451660215000/73500
LCM = 87777690
Thus, we can understand that the LCM of 474,455,210,370,385 is 87777690.
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FAQs on LCM of 474, 455, 210, 370, 385
1. What is the LCM of 474, 455, 210, 370, 385?
Answer: LCM of 474, 455, 210, 370, 385 is 87777690.
2. How to calculate the LCM of 474, 455, 210, 370, 385?
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 474, 455, 210, 370, 385.
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}.