LCM of 374, 932, 426, 286, 861
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 932, 426, 286, 861 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 374, 932, 426, 286, 861. So, keep reading to learn more.
Given numbers are 374,932,426,286,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,932,426,286,861 is 138504017652.
Find LCM of 374,932,426,286,861 with Prime Factorization
| 2 | 374, 932, 426, 286, 861 |
| 3 | 187, 466, 213, 143, 861 |
| 11 | 187, 466, 71, 143, 287 |
| 17, 466, 71, 13, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 466 x 71 x 13 x 287 = 138504017652
Therefore, the lowest common multiple of 374,932,426,286,861 is 138504017652.
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.
374 x 932 x 426 x 286 x 861 = 36565060660128
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
932 : 1, 2, 4, 233, 466, 932
426 : 1, 2, 3, 6, 71, 142, 213, 426
286 : 1, 2, 11, 13, 22, 26, 143, 286
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,932,426,286,861, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
932:2x 2x 233
426:2x 3x 71
286:2x 11x 13
861:3x 7x 41
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 11 = 264
Therefore, the value for common factors is 264.
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 = 36565060660128/(1x264)
LCM = 36565060660128/264
LCM = 138504017652
Thus, we can understand that the LCM of 374,932,426,286,861 is 138504017652.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 932, 426, 286, 861
1. What is the LCM of 374, 932, 426, 286, 861?
Answer: LCM of 374, 932, 426, 286, 861 is 138504017652.
2. How to calculate the LCM of 374, 932, 426, 286, 861?
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 374, 932, 426, 286, 861.
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}.