LCM of 267, 319, 756, 374, 180
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 319, 756, 374, 180 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 267, 319, 756, 374, 180. So, keep reading to learn more.
Given numbers are 267,319,756,374,180
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,319,756,374,180 is 1824405660.
Find LCM of 267,319,756,374,180 with Prime Factorization
| 2 | 267, 319, 756, 374, 180 |
| 2 | 267, 319, 378, 187, 90 |
| 3 | 267, 319, 189, 187, 45 |
| 3 | 89, 319, 63, 187, 15 |
| 11 | 89, 319, 21, 187, 5 |
| 89, 29, 21, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 89 x 29 x 21 x 17 x 5 = 1824405660
Therefore, the lowest common multiple of 267,319,756,374,180 is 1824405660.
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.
267 x 319 x 756 x 374 x 180 = 4334787848160
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.
267 : 1, 3, 89, 267
319 : 1, 11, 29, 319
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
374 : 1, 2, 11, 17, 22, 34, 187, 374
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,319,756,374,180, is 1.
Now, the common factors can be found like this.
267:3x 89
319:11x 29
756:2x 2x 3x 3x 3x 7
374:2x 11x 17
180:2x 2x 3x 3x 5
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 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 4334787848160/(1x2376)
LCM = 4334787848160/2376
LCM = 1824405660
Thus, we can understand that the LCM of 267,319,756,374,180 is 1824405660.
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FAQs on LCM of 267, 319, 756, 374, 180
1. What is the LCM of 267, 319, 756, 374, 180?
Answer: LCM of 267, 319, 756, 374, 180 is 1824405660.
2. How to calculate the LCM of 267, 319, 756, 374, 180?
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 267, 319, 756, 374, 180.
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}.