LCM of 640, 584, 132, 346, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 640, 584, 132, 346, 378 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 640, 584, 132, 346, 378. So, keep reading to learn more.
Given numbers are 640,584,132,346,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 640,584,132,346,378 is 16803642240.
Find LCM of 640,584,132,346,378 with Prime Factorization
| 2 | 640, 584, 132, 346, 378 |
| 2 | 320, 292, 66, 173, 189 |
| 2 | 160, 146, 33, 173, 189 |
| 3 | 80, 73, 33, 173, 189 |
| 80, 73, 11, 173, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 80 x 73 x 11 x 173 x 63 = 16803642240
Therefore, the lowest common multiple of 640,584,132,346,378 is 16803642240.
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.
640 x 584 x 132 x 346 x 378 = 6452598620160
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.
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
584 : 1, 2, 4, 8, 73, 146, 292, 584
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
346 : 1, 2, 173, 346
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 640,584,132,346,378, is 2.
Now, the common factors can be found like this.
640:2x 2x 2x 2x 2x 2x 2x 5
584:2x 2x 2x 73
132:2x 2x 3x 11
346:2x 173
378:2x 3x 3x 3x 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 3 = 192
Therefore, the value for common factors is 192.
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 = 6452598620160/(2x192)
LCM = 6452598620160/384
LCM = 16803642240
Thus, we can understand that the LCM of 640,584,132,346,378 is 16803642240.
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FAQs on LCM of 640, 584, 132, 346, 378
1. What is the LCM of 640, 584, 132, 346, 378?
Answer: LCM of 640, 584, 132, 346, 378 is 16803642240.
2. How to calculate the LCM of 640, 584, 132, 346, 378?
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 640, 584, 132, 346, 378.
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}.