Find the LCM of 550, 182, 196, 916, 347 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 550, 182, 196, 916, 347. So, keep reading to learn more.
Given numbers are 550,182,196,916,347
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 550,182,196,916,347 is 55679724100.
Find LCM of 550,182,196,916,347 with Prime Factorization
2 | 550, 182, 196, 916, 347 |
2 | 275, 91, 98, 458, 347 |
7 | 275, 91, 49, 229, 347 |
275, 13, 7, 229, 347 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 275 x 13 x 7 x 229 x 347 = 55679724100
Therefore, the lowest common multiple of 550,182,196,916,347 is 55679724100.
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.
550 x 182 x 196 x 916 x 347 = 6236129099200
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.
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
182 : 1, 2, 7, 13, 14, 26, 91, 182
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
916 : 1, 2, 4, 229, 458, 916
347 : 1, 347
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,182,196,916,347, is 1.
Now, the common factors can be found like this.
550:2x 5x 5x 11
182:2x 7x 13
196:2x 2x 7x 7
916:2x 2x 229
347:347
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 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 6236129099200/(1x112)
LCM = 6236129099200/112
LCM = 55679724100
Thus, we can understand that the LCM of 550,182,196,916,347 is 55679724100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 550, 182, 196, 916, 347?
Answer: LCM of 550, 182, 196, 916, 347 is 55679724100.
2. How to calculate the LCM of 550, 182, 196, 916, 347?
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 550, 182, 196, 916, 347.
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}.