LCM of 472, 374, 336, 448, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 374, 336, 448, 280 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 472, 374, 336, 448, 280. So, keep reading to learn more.
Given numbers are 472,374,336,448,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,374,336,448,280 is 74141760.
Find LCM of 472,374,336,448,280 with Prime Factorization
| 2 | 472, 374, 336, 448, 280 |
| 2 | 236, 187, 168, 224, 140 |
| 2 | 118, 187, 84, 112, 70 |
| 2 | 59, 187, 42, 56, 35 |
| 7 | 59, 187, 21, 28, 35 |
| 59, 187, 3, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 59 x 187 x 3 x 4 x 5 = 74141760
Therefore, the lowest common multiple of 472,374,336,448,280 is 74141760.
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.
472 x 374 x 336 x 448 x 280 = 7440273899520
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
374 : 1, 2, 11, 17, 22, 34, 187, 374
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,374,336,448,280, is 2.
Now, the common factors can be found like this.
472:2x 2x 2x 59
374:2x 11x 17
336:2x 2x 2x 2x 3x 7
448:2x 2x 2x 2x 2x 2x 7
280:2x 2x 2x 5x 7
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 2x 2x 2x 2x 2x 2x 7x 7 = 50176
Therefore, the value for common factors is 50176.
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 = 7440273899520/(2x50176)
LCM = 7440273899520/100352
LCM = 74141760
Thus, we can understand that the LCM of 472,374,336,448,280 is 74141760.
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FAQs on LCM of 472, 374, 336, 448, 280
1. What is the LCM of 472, 374, 336, 448, 280?
Answer: LCM of 472, 374, 336, 448, 280 is 74141760.
2. How to calculate the LCM of 472, 374, 336, 448, 280?
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 472, 374, 336, 448, 280.
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}.