LCM of 674, 902, 344, 942, 185
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 902, 344, 942, 185 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 674, 902, 344, 942, 185. So, keep reading to learn more.
Given numbers are 674,902,344,942,185
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,902,344,942,185 is 4555725212280.
Find LCM of 674,902,344,942,185 with Prime Factorization
| 2 | 674, 902, 344, 942, 185 |
| 337, 451, 172, 471, 185 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 451 x 172 x 471 x 185 = 4555725212280
Therefore, the lowest common multiple of 674,902,344,942,185 is 4555725212280.
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.
674 x 902 x 344 x 942 x 185 = 36445801698240
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.
674 : 1, 2, 337, 674
902 : 1, 2, 11, 22, 41, 82, 451, 902
344 : 1, 2, 4, 8, 43, 86, 172, 344
942 : 1, 2, 3, 6, 157, 314, 471, 942
185 : 1, 5, 37, 185
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,902,344,942,185, is 1.
Now, the common factors can be found like this.
674:2x 337
902:2x 11x 41
344:2x 2x 2x 43
942:2x 3x 157
185:5x 37
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 2 = 8
Therefore, the value for common factors is 8.
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 = 36445801698240/(1x8)
LCM = 36445801698240/8
LCM = 4555725212280
Thus, we can understand that the LCM of 674,902,344,942,185 is 4555725212280.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 674, 902, 344, 942, 185
1. What is the LCM of 674, 902, 344, 942, 185?
Answer: LCM of 674, 902, 344, 942, 185 is 4555725212280.
2. How to calculate the LCM of 674, 902, 344, 942, 185?
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 674, 902, 344, 942, 185.
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}.