Find the LCM of 869, 293, 237, 770 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 869, 293, 237, 770. So, keep reading to learn more.
Given numbers are 869,293,237,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,293,237,770 is 53469570.
Find LCM of 869,293,237,770 with Prime Factorization
11 | 869, 293, 237, 770 |
79 | 79, 293, 237, 70 |
1, 293, 3, 70 |
Multiply the prime numbers at the bottom and the left side.
11 x 79 x 1 x 293 x 3 x 70 = 53469570
Therefore, the lowest common multiple of 869,293,237,770 is 53469570.
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.
869 x 293 x 237 x 770 = 46465056330
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.
869 : 1, 11, 79, 869
293 : 1, 293
237 : 1, 3, 79, 237
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,293,237,770, is 1.
Now, the common factors can be found like this.
869:11x 79
293:293
237:3x 79
770:2x 5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 79 = 869
Therefore, the value for common factors is 869.
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 = 46465056330/(1x869)
LCM = 46465056330/869
LCM = 53469570
Thus, we can understand that the LCM of 869,293,237,770 is 53469570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 293, 237, 770?
Answer: LCM of 869, 293, 237, 770 is 53469570.
2. How to calculate the LCM of 869, 293, 237, 770?
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 869, 293, 237, 770.
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}.