Find the LCM of 196, 358, 224, 302 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 196, 358, 224, 302. So, keep reading to learn more.
Given numbers are 196,358,224,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,358,224,302 is 42381472.
Find LCM of 196,358,224,302 with Prime Factorization
2 | 196, 358, 224, 302 |
2 | 98, 179, 112, 151 |
7 | 49, 179, 56, 151 |
7, 179, 8, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 179 x 8 x 151 = 42381472
Therefore, the lowest common multiple of 196,358,224,302 is 42381472.
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.
196 x 358 x 224 x 302 = 4746724864
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
358 : 1, 2, 179, 358
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,358,224,302, is 2.
Now, the common factors can be found like this.
196:2x 2x 7x 7
358:2x 179
224:2x 2x 2x 2x 2x 7
302:2x 151
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 7 = 56
Therefore, the value for common factors is 56.
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 = 4746724864/(2x56)
LCM = 4746724864/112
LCM = 42381472
Thus, we can understand that the LCM of 196,358,224,302 is 42381472.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 196, 358, 224, 302?
Answer: LCM of 196, 358, 224, 302 is 42381472.
2. How to calculate the LCM of 196, 358, 224, 302?
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 196, 358, 224, 302.
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}.