Find the LCM of 769, 473, 946, 195, 121 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, 473, 946, 195, 121. So, keep reading to learn more.
Given numbers are 769,473,946,195,121
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,473,946,195,121 is 1560431730.
Find LCM of 769,473,946,195,121 with Prime Factorization
11 | 769, 473, 946, 195, 121 |
43 | 769, 43, 86, 195, 11 |
769, 1, 2, 195, 11 |
Multiply the prime numbers at the bottom and the left side.
11 x 43 x 769 x 1 x 2 x 195 x 11 = 1560431730
Therefore, the lowest common multiple of 769,473,946,195,121 is 1560431730.
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 473 x 946 x 195 x 121 = 8118926291190
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
473 : 1, 11, 43, 473
946 : 1, 2, 11, 22, 43, 86, 473, 946
195 : 1, 3, 5, 13, 15, 39, 65, 195
121 : 1, 11, 121
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,473,946,195,121, is 1.
Now, the common factors can be found like this.
769:769
473:11x 43
946:2x 11x 43
195:3x 5x 13
121:11x 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 11x 43 = 5203
Therefore, the value for common factors is 5203.
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 = 8118926291190/(1x5203)
LCM = 8118926291190/5203
LCM = 1560431730
Thus, we can understand that the LCM of 769,473,946,195,121 is 1560431730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 473, 946, 195, 121?
Answer: LCM of 769, 473, 946, 195, 121 is 1560431730.
2. How to calculate the LCM of 769, 473, 946, 195, 121?
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, 473, 946, 195, 121.
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}.