LCM of 932, 974, 618, 836, 877
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 974, 618, 836, 877 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, 974, 618, 836, 877. So, keep reading to learn more.
Given numbers are 932,974,618,836,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,974,618,836,877 is 25706871843708.
Find LCM of 932,974,618,836,877 with Prime Factorization
| 2 | 932, 974, 618, 836, 877 |
| 2 | 466, 487, 309, 418, 877 |
| 233, 487, 309, 209, 877 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 233 x 487 x 309 x 209 x 877 = 25706871843708
Therefore, the lowest common multiple of 932,974,618,836,877 is 25706871843708.
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 974 x 618 x 836 x 877 = 411309949499328
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
974 : 1, 2, 487, 974
618 : 1, 2, 3, 6, 103, 206, 309, 618
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,974,618,836,877, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
974:2x 487
618:2x 3x 103
836:2x 2x 11x 19
877:877
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 2 = 16
Therefore, the value for common factors is 16.
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 = 411309949499328/(1x16)
LCM = 411309949499328/16
LCM = 25706871843708
Thus, we can understand that the LCM of 932,974,618,836,877 is 25706871843708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 932, 974, 618, 836, 877
1. What is the LCM of 932, 974, 618, 836, 877?
Answer: LCM of 932, 974, 618, 836, 877 is 25706871843708.
2. How to calculate the LCM of 932, 974, 618, 836, 877?
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, 974, 618, 836, 877.
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}.