Find the LCM of 461, 955, 849, 764, 733 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 461, 955, 849, 764, 733. So, keep reading to learn more.
Given numbers are 461,955,849,764,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,955,849,764,733 is 1095912683340.
Find LCM of 461,955,849,764,733 with Prime Factorization
191 | 461, 955, 849, 764, 733 |
461, 5, 849, 4, 733 |
Multiply the prime numbers at the bottom and the left side.
191 x 461 x 5 x 849 x 4 x 733 = 1095912683340
Therefore, the lowest common multiple of 461,955,849,764,733 is 1095912683340.
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.
461 x 955 x 849 x 764 x 733 = 209319322517940
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.
461 : 1, 461
955 : 1, 5, 191, 955
849 : 1, 3, 283, 849
764 : 1, 2, 4, 191, 382, 764
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,955,849,764,733, is 1.
Now, the common factors can be found like this.
461:461
955:5x 191
849:3x 283
764:2x 2x 191
733:733
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
191 = 191
Therefore, the value for common factors is 191.
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 = 209319322517940/(1x191)
LCM = 209319322517940/191
LCM = 1095912683340
Thus, we can understand that the LCM of 461,955,849,764,733 is 1095912683340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 955, 849, 764, 733?
Answer: LCM of 461, 955, 849, 764, 733 is 1095912683340.
2. How to calculate the LCM of 461, 955, 849, 764, 733?
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 461, 955, 849, 764, 733.
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}.