Find the LCM of 356, 788, 680, 948, 381 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 356, 788, 680, 948, 381. So, keep reading to learn more.
Given numbers are 356,788,680,948,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,788,680,948,381 is 358853521560.
Find LCM of 356,788,680,948,381 with Prime Factorization
2 | 356, 788, 680, 948, 381 |
2 | 178, 394, 340, 474, 381 |
3 | 89, 197, 170, 237, 381 |
89, 197, 170, 79, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 89 x 197 x 170 x 79 x 127 = 358853521560
Therefore, the lowest common multiple of 356,788,680,948,381 is 358853521560.
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.
356 x 788 x 680 x 948 x 381 = 68899876139520
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.
356 : 1, 2, 4, 89, 178, 356
788 : 1, 2, 4, 197, 394, 788
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,788,680,948,381, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
788:2x 2x 197
680:2x 2x 2x 5x 17
948:2x 2x 3x 79
381:3x 127
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 68899876139520/(1x192)
LCM = 68899876139520/192
LCM = 358853521560
Thus, we can understand that the LCM of 356,788,680,948,381 is 358853521560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 356, 788, 680, 948, 381?
Answer: LCM of 356, 788, 680, 948, 381 is 358853521560.
2. How to calculate the LCM of 356, 788, 680, 948, 381?
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 356, 788, 680, 948, 381.
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}.