Find the LCM of 769, 649, 818, 307, 921 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 769, 649, 818, 307, 921. So, keep reading to learn more.
Given numbers are 769,649,818,307,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,649,818,307,921 is 375996645618.
Find LCM of 769,649,818,307,921 with Prime Factorization
307 | 769, 649, 818, 307, 921 |
769, 649, 818, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
307 x 769 x 649 x 818 x 1 x 3 = 375996645618
Therefore, the lowest common multiple of 769,649,818,307,921 is 375996645618.
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.
769 x 649 x 818 x 307 x 921 = 115430970204726
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.
769 : 1, 769
649 : 1, 11, 59, 649
818 : 1, 2, 409, 818
307 : 1, 307
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,649,818,307,921, is 1.
Now, the common factors can be found like this.
769:769
649:11x 59
818:2x 409
307:307
921:3x 307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
307 = 307
Therefore, the value for common factors is 307.
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 = 115430970204726/(1x307)
LCM = 115430970204726/307
LCM = 375996645618
Thus, we can understand that the LCM of 769,649,818,307,921 is 375996645618.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 649, 818, 307, 921?
Answer: LCM of 769, 649, 818, 307, 921 is 375996645618.
2. How to calculate the LCM of 769, 649, 818, 307, 921?
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 769, 649, 818, 307, 921.
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}.