Find the LCM of 757, 912, 348, 696, 124 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 757, 912, 348, 696, 124. So, keep reading to learn more.
Given numbers are 757,912,348,696,124
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,912,348,696,124 is 620655216.
Find LCM of 757,912,348,696,124 with Prime Factorization
2 | 757, 912, 348, 696, 124 |
2 | 757, 456, 174, 348, 62 |
2 | 757, 228, 87, 174, 31 |
3 | 757, 114, 87, 87, 31 |
29 | 757, 38, 29, 29, 31 |
757, 38, 1, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 757 x 38 x 1 x 1 x 31 = 620655216
Therefore, the lowest common multiple of 757,912,348,696,124 is 620655216.
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.
757 x 912 x 348 x 696 x 124 = 20734849456128
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.
757 : 1, 757
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
124 : 1, 2, 4, 31, 62, 124
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,912,348,696,124, is 1.
Now, the common factors can be found like this.
757:757
912:2x 2x 2x 2x 3x 19
348:2x 2x 3x 29
696:2x 2x 2x 3x 29
124:2x 2x 31
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 2x 3x 3x 29 = 33408
Therefore, the value for common factors is 33408.
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 = 20734849456128/(1x33408)
LCM = 20734849456128/33408
LCM = 620655216
Thus, we can understand that the LCM of 757,912,348,696,124 is 620655216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 912, 348, 696, 124?
Answer: LCM of 757, 912, 348, 696, 124 is 620655216.
2. How to calculate the LCM of 757, 912, 348, 696, 124?
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 757, 912, 348, 696, 124.
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}.