LCM of 712, 767, 354, 899, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 767, 354, 899, 199 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 712, 767, 354, 899, 199. So, keep reading to learn more.
Given numbers are 712,767,354,899,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,767,354,899,199 is 293095655112.
Find LCM of 712,767,354,899,199 with Prime Factorization
| 2 | 712, 767, 354, 899, 199 |
| 59 | 356, 767, 177, 899, 199 |
| 356, 13, 3, 899, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 356 x 13 x 3 x 899 x 199 = 293095655112
Therefore, the lowest common multiple of 712,767,354,899,199 is 293095655112.
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.
712 x 767 x 354 x 899 x 199 = 34585287303216
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
767 : 1, 13, 59, 767
354 : 1, 2, 3, 6, 59, 118, 177, 354
899 : 1, 29, 31, 899
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,767,354,899,199, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
767:13x 59
354:2x 3x 59
899:29x 31
199:199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 59 = 118
Therefore, the value for common factors is 118.
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 = 34585287303216/(1x118)
LCM = 34585287303216/118
LCM = 293095655112
Thus, we can understand that the LCM of 712,767,354,899,199 is 293095655112.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 712, 767, 354, 899, 199
1. What is the LCM of 712, 767, 354, 899, 199?
Answer: LCM of 712, 767, 354, 899, 199 is 293095655112.
2. How to calculate the LCM of 712, 767, 354, 899, 199?
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 712, 767, 354, 899, 199.
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}.