Find the LCM of 421, 116, 358, 570, 307 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 421, 116, 358, 570, 307. So, keep reading to learn more.
Given numbers are 421,116,358,570,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,116,358,570,307 is 764850141780.
Find LCM of 421,116,358,570,307 with Prime Factorization
2 | 421, 116, 358, 570, 307 |
421, 58, 179, 285, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 421 x 58 x 179 x 285 x 307 = 764850141780
Therefore, the lowest common multiple of 421,116,358,570,307 is 764850141780.
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.
421 x 116 x 358 x 570 x 307 = 3059400567120
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.
421 : 1, 421
116 : 1, 2, 4, 29, 58, 116
358 : 1, 2, 179, 358
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,116,358,570,307, is 1.
Now, the common factors can be found like this.
421:421
116:2x 2x 29
358:2x 179
570:2x 3x 5x 19
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 3059400567120/(1x4)
LCM = 3059400567120/4
LCM = 764850141780
Thus, we can understand that the LCM of 421,116,358,570,307 is 764850141780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 116, 358, 570, 307?
Answer: LCM of 421, 116, 358, 570, 307 is 764850141780.
2. How to calculate the LCM of 421, 116, 358, 570, 307?
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 421, 116, 358, 570, 307.
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}.