Find the LCM of 491, 653, 970, 653, 797 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 491, 653, 970, 653, 797. So, keep reading to learn more.
Given numbers are 491,653,970,653,797
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,653,970,653,797 is 247870435070.
Find LCM of 491,653,970,653,797 with Prime Factorization
653 | 491, 653, 970, 653, 797 |
491, 1, 970, 1, 797 |
Multiply the prime numbers at the bottom and the left side.
653 x 491 x 1 x 970 x 1 x 797 = 247870435070
Therefore, the lowest common multiple of 491,653,970,653,797 is 247870435070.
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.
491 x 653 x 970 x 653 x 797 = 161859394100710
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.
491 : 1, 491
653 : 1, 653
970 : 1, 2, 5, 10, 97, 194, 485, 970
653 : 1, 653
797 : 1, 797
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,653,970,653,797, is 1.
Now, the common factors can be found like this.
491:491
653:653
970:2x 5x 97
653:653
797:797
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
653 = 653
Therefore, the value for common factors is 653.
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 = 161859394100710/(1x653)
LCM = 161859394100710/653
LCM = 247870435070
Thus, we can understand that the LCM of 491,653,970,653,797 is 247870435070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 491, 653, 970, 653, 797?
Answer: LCM of 491, 653, 970, 653, 797 is 247870435070.
2. How to calculate the LCM of 491, 653, 970, 653, 797?
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 491, 653, 970, 653, 797.
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}.