Find the LCM of 497, 690, 995 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 497, 690, 995. So, keep reading to learn more.
Given numbers are 497,690,995
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,690,995 is 68243070.
Find LCM of 497,690,995 with Prime Factorization
5 | 497, 690, 995 |
497, 138, 199 |
Multiply the prime numbers at the bottom and the left side.
5 x 497 x 138 x 199 = 68243070
Therefore, the lowest common multiple of 497,690,995 is 68243070.
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.
497 x 690 x 995 = 341215350
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.
497 : 1, 7, 71, 497
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
995 : 1, 5, 199, 995
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,690,995, is 1.
Now, the common factors can be found like this.
497:7x 71
690:2x 3x 5x 23
995:5x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5 = 5
Therefore, the value for common factors is 5.
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 = 341215350/(1x5)
LCM = 341215350/5
LCM = 68243070
Thus, we can understand that the LCM of 497,690,995 is 68243070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 497, 690, 995?
Answer: LCM of 497, 690, 995 is 68243070.
2. How to calculate the LCM of 497, 690, 995?
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 497, 690, 995.
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}.