Find the LCM of 661, 312, 274, 464 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 661, 312, 274, 464. So, keep reading to learn more.
Given numbers are 661,312,274,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,312,274,464 is 1638719472.
Find LCM of 661,312,274,464 with Prime Factorization
2 | 661, 312, 274, 464 |
2 | 661, 156, 137, 232 |
2 | 661, 78, 137, 116 |
661, 39, 137, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 661 x 39 x 137 x 58 = 1638719472
Therefore, the lowest common multiple of 661,312,274,464 is 1638719472.
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.
661 x 312 x 274 x 464 = 26219511552
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.
661 : 1, 661
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
274 : 1, 2, 137, 274
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,312,274,464, is 1.
Now, the common factors can be found like this.
661:661
312:2x 2x 2x 3x 13
274:2x 137
464:2x 2x 2x 2x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2 = 16
Therefore, the value for common factors is 16.
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 = 26219511552/(1x16)
LCM = 26219511552/16
LCM = 1638719472
Thus, we can understand that the LCM of 661,312,274,464 is 1638719472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 661, 312, 274, 464?
Answer: LCM of 661, 312, 274, 464 is 1638719472.
2. How to calculate the LCM of 661, 312, 274, 464?
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 661, 312, 274, 464.
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}.