Find the LCM of 387, 942, 688, 384 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 387, 942, 688, 384. So, keep reading to learn more.
Given numbers are 387,942,688,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,942,688,384 is 7777152.
Find LCM of 387,942,688,384 with Prime Factorization
2 | 387, 942, 688, 384 |
2 | 387, 471, 344, 192 |
2 | 387, 471, 172, 96 |
2 | 387, 471, 86, 48 |
3 | 387, 471, 43, 24 |
43 | 129, 157, 43, 8 |
3, 157, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 43 x 3 x 157 x 1 x 8 = 7777152
Therefore, the lowest common multiple of 387,942,688,384 is 7777152.
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.
387 x 942 x 688 x 384 = 96312250368
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.
387 : 1, 3, 9, 43, 129, 387
942 : 1, 2, 3, 6, 157, 314, 471, 942
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,942,688,384, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
942:2x 3x 157
688:2x 2x 2x 2x 43
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 43 = 12384
Therefore, the value for common factors is 12384.
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 = 96312250368/(1x12384)
LCM = 96312250368/12384
LCM = 7777152
Thus, we can understand that the LCM of 387,942,688,384 is 7777152.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 387, 942, 688, 384?
Answer: LCM of 387, 942, 688, 384 is 7777152.
2. How to calculate the LCM of 387, 942, 688, 384?
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 387, 942, 688, 384.
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}.