Find the LCM of 352, 804, 942, 297, 471 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 352, 804, 942, 297, 471. So, keep reading to learn more.
Given numbers are 352,804,942,297,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,804,942,297,471 is 99972576.
Find LCM of 352,804,942,297,471 with Prime Factorization
2 | 352, 804, 942, 297, 471 |
2 | 176, 402, 471, 297, 471 |
3 | 88, 201, 471, 297, 471 |
11 | 88, 67, 157, 99, 157 |
157 | 8, 67, 157, 9, 157 |
8, 67, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 157 x 8 x 67 x 1 x 9 x 1 = 99972576
Therefore, the lowest common multiple of 352,804,942,297,471 is 99972576.
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.
352 x 804 x 942 x 297 x 471 = 37292969970432
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
942 : 1, 2, 3, 6, 157, 314, 471, 942
297 : 1, 3, 9, 11, 27, 33, 99, 297
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,804,942,297,471, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
804:2x 2x 3x 67
942:2x 3x 157
297:3x 3x 3x 11
471:3x 157
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 3x 11x 157 = 373032
Therefore, the value for common factors is 373032.
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 = 37292969970432/(1x373032)
LCM = 37292969970432/373032
LCM = 99972576
Thus, we can understand that the LCM of 352,804,942,297,471 is 99972576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 352, 804, 942, 297, 471?
Answer: LCM of 352, 804, 942, 297, 471 is 99972576.
2. How to calculate the LCM of 352, 804, 942, 297, 471?
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 352, 804, 942, 297, 471.
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}.