Find the LCM of 471, 322, 264, 549, 348 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 471, 322, 264, 549, 348. So, keep reading to learn more.
Given numbers are 471,322,264,549,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,322,264,549,348 is 35414290296.
Find LCM of 471,322,264,549,348 with Prime Factorization
2 | 471, 322, 264, 549, 348 |
2 | 471, 161, 132, 549, 174 |
3 | 471, 161, 66, 549, 87 |
157, 161, 22, 183, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 161 x 22 x 183 x 29 = 35414290296
Therefore, the lowest common multiple of 471,322,264,549,348 is 35414290296.
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.
471 x 322 x 264 x 549 x 348 = 7649486703936
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.
471 : 1, 3, 157, 471
322 : 1, 2, 7, 14, 23, 46, 161, 322
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
549 : 1, 3, 9, 61, 183, 549
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,322,264,549,348, is 1.
Now, the common factors can be found like this.
471:3x 157
322:2x 7x 23
264:2x 2x 2x 3x 11
549:3x 3x 61
348:2x 2x 3x 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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 7649486703936/(1x216)
LCM = 7649486703936/216
LCM = 35414290296
Thus, we can understand that the LCM of 471,322,264,549,348 is 35414290296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 322, 264, 549, 348?
Answer: LCM of 471, 322, 264, 549, 348 is 35414290296.
2. How to calculate the LCM of 471, 322, 264, 549, 348?
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 471, 322, 264, 549, 348.
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}.