LCM of 932, 454, 220, 378, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 454, 220, 378, 714 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 932, 454, 220, 378, 714. So, keep reading to learn more.
Given numbers are 932,454,220,378,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,454,220,378,714 is 37386532260.
Find LCM of 932,454,220,378,714 with Prime Factorization
| 2 | 932, 454, 220, 378, 714 |
| 2 | 466, 227, 110, 189, 357 |
| 3 | 233, 227, 55, 189, 357 |
| 7 | 233, 227, 55, 63, 119 |
| 233, 227, 55, 9, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 233 x 227 x 55 x 9 x 17 = 37386532260
Therefore, the lowest common multiple of 932,454,220,378,714 is 37386532260.
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.
932 x 454 x 220 x 378 x 714 = 25123749678720
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.
932 : 1, 2, 4, 233, 466, 932
454 : 1, 2, 227, 454
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,454,220,378,714, is 2.
Now, the common factors can be found like this.
932:2x 2x 233
454:2x 227
220:2x 2x 5x 11
378:2x 3x 3x 3x 7
714:2x 3x 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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 25123749678720/(2x336)
LCM = 25123749678720/672
LCM = 37386532260
Thus, we can understand that the LCM of 932,454,220,378,714 is 37386532260.
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FAQs on LCM of 932, 454, 220, 378, 714
1. What is the LCM of 932, 454, 220, 378, 714?
Answer: LCM of 932, 454, 220, 378, 714 is 37386532260.
2. How to calculate the LCM of 932, 454, 220, 378, 714?
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 932, 454, 220, 378, 714.
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}.