LCM of 646, 760, 132, 840, 238
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 760, 132, 840, 238 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 646, 760, 132, 840, 238. So, keep reading to learn more.
Given numbers are 646,760,132,840,238
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,760,132,840,238 is 2984520.
Find LCM of 646,760,132,840,238 with Prime Factorization
| 2 | 646, 760, 132, 840, 238 |
| 2 | 323, 380, 66, 420, 119 |
| 2 | 323, 190, 33, 210, 119 |
| 3 | 323, 95, 33, 105, 119 |
| 5 | 323, 95, 11, 35, 119 |
| 7 | 323, 19, 11, 7, 119 |
| 17 | 323, 19, 11, 1, 17 |
| 19 | 19, 19, 11, 1, 1 |
| 1, 1, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 17 x 19 x 1 x 1 x 11 x 1 x 1 = 2984520
Therefore, the lowest common multiple of 646,760,132,840,238 is 2984520.
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.
646 x 760 x 132 x 840 x 238 = 12956159462400
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
238 : 1, 2, 7, 14, 17, 34, 119, 238
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,760,132,840,238, is 2.
Now, the common factors can be found like this.
646:2x 17x 19
760:2x 2x 2x 5x 19
132:2x 2x 3x 11
840:2x 2x 2x 3x 5x 7
238:2x 7x 17
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 3x 5x 7x 17x 19 = 2170560
Therefore, the value for common factors is 2170560.
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 = 12956159462400/(2x2170560)
LCM = 12956159462400/4341120
LCM = 2984520
Thus, we can understand that the LCM of 646,760,132,840,238 is 2984520.
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FAQs on LCM of 646, 760, 132, 840, 238
1. What is the LCM of 646, 760, 132, 840, 238?
Answer: LCM of 646, 760, 132, 840, 238 is 2984520.
2. How to calculate the LCM of 646, 760, 132, 840, 238?
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 646, 760, 132, 840, 238.
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}.