LCM of 851, 554, 969, 374
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 554, 969, 374 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 851, 554, 969, 374. So, keep reading to learn more.
Given numbers are 851,554,969,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,554,969,374 is 5025228186.
Find LCM of 851,554,969,374 with Prime Factorization
| 2 | 851, 554, 969, 374 |
| 17 | 851, 277, 969, 187 |
| 851, 277, 57, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 851 x 277 x 57 x 11 = 5025228186
Therefore, the lowest common multiple of 851,554,969,374 is 5025228186.
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.
851 x 554 x 969 x 374 = 170857758324
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.
851 : 1, 23, 37, 851
554 : 1, 2, 277, 554
969 : 1, 3, 17, 19, 51, 57, 323, 969
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,554,969,374, is 1.
Now, the common factors can be found like this.
851:23x 37
554:2x 277
969:3x 17x 19
374:2x 11x 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 17 = 34
Therefore, the value for common factors is 34.
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 = 170857758324/(1x34)
LCM = 170857758324/34
LCM = 5025228186
Thus, we can understand that the LCM of 851,554,969,374 is 5025228186.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 851, 554, 969, 374
1. What is the LCM of 851, 554, 969, 374?
Answer: LCM of 851, 554, 969, 374 is 5025228186.
2. How to calculate the LCM of 851, 554, 969, 374?
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 851, 554, 969, 374.
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}.