Find the LCM of 616, 361, 314, 294, 803 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 616, 361, 314, 294, 803. So, keep reading to learn more.
Given numbers are 616,361,314,294,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,361,314,294,803 is 53521678056.
Find LCM of 616,361,314,294,803 with Prime Factorization
2 | 616, 361, 314, 294, 803 |
7 | 308, 361, 157, 147, 803 |
11 | 44, 361, 157, 21, 803 |
4, 361, 157, 21, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 4 x 361 x 157 x 21 x 73 = 53521678056
Therefore, the lowest common multiple of 616,361,314,294,803 is 53521678056.
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.
616 x 361 x 314 x 294 x 803 = 16484676841248
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
361 : 1, 19, 361
314 : 1, 2, 157, 314
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,361,314,294,803, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
361:19x 19
314:2x 157
294:2x 3x 7x 7
803:11x 73
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 16484676841248/(1x308)
LCM = 16484676841248/308
LCM = 53521678056
Thus, we can understand that the LCM of 616,361,314,294,803 is 53521678056.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 616, 361, 314, 294, 803?
Answer: LCM of 616, 361, 314, 294, 803 is 53521678056.
2. How to calculate the LCM of 616, 361, 314, 294, 803?
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 616, 361, 314, 294, 803.
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}.