LCM of 330, 871, 506, 416, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 871, 506, 416, 140 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 330, 871, 506, 416, 140. So, keep reading to learn more.
Given numbers are 330,871,506,416,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,871,506,416,140 is 740419680.
Find LCM of 330,871,506,416,140 with Prime Factorization
| 2 | 330, 871, 506, 416, 140 |
| 2 | 165, 871, 253, 208, 70 |
| 5 | 165, 871, 253, 104, 35 |
| 11 | 33, 871, 253, 104, 7 |
| 13 | 3, 871, 23, 104, 7 |
| 3, 67, 23, 8, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 13 x 3 x 67 x 23 x 8 x 7 = 740419680
Therefore, the lowest common multiple of 330,871,506,416,140 is 740419680.
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.
330 x 871 x 506 x 416 x 140 = 8470401139200
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
871 : 1, 13, 67, 871
506 : 1, 2, 11, 22, 23, 46, 253, 506
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,871,506,416,140, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
871:13x 67
506:2x 11x 23
416:2x 2x 2x 2x 2x 13
140:2x 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 5x 11x 13 = 11440
Therefore, the value for common factors is 11440.
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 = 8470401139200/(1x11440)
LCM = 8470401139200/11440
LCM = 740419680
Thus, we can understand that the LCM of 330,871,506,416,140 is 740419680.
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FAQs on LCM of 330, 871, 506, 416, 140
1. What is the LCM of 330, 871, 506, 416, 140?
Answer: LCM of 330, 871, 506, 416, 140 is 740419680.
2. How to calculate the LCM of 330, 871, 506, 416, 140?
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 330, 871, 506, 416, 140.
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}.