Find the LCM of 155, 688, 914, 478, 688 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 155, 688, 914, 478, 688. So, keep reading to learn more.
Given numbers are 155,688,914,478,688
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,688,914,478,688 is 11647540720.
Find LCM of 155,688,914,478,688 with Prime Factorization
2 | 155, 688, 914, 478, 688 |
2 | 155, 344, 457, 239, 344 |
2 | 155, 172, 457, 239, 172 |
2 | 155, 86, 457, 239, 86 |
43 | 155, 43, 457, 239, 43 |
155, 1, 457, 239, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 155 x 1 x 457 x 239 x 1 = 11647540720
Therefore, the lowest common multiple of 155,688,914,478,688 is 11647540720.
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.
155 x 688 x 914 x 478 x 688 = 32054032061440
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.
155 : 1, 5, 31, 155
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
914 : 1, 2, 457, 914
478 : 1, 2, 239, 478
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,688,914,478,688, is 1.
Now, the common factors can be found like this.
155:5x 31
688:2x 2x 2x 2x 43
914:2x 457
478:2x 239
688:2x 2x 2x 2x 43
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 43 = 2752
Therefore, the value for common factors is 2752.
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 = 32054032061440/(1x2752)
LCM = 32054032061440/2752
LCM = 11647540720
Thus, we can understand that the LCM of 155,688,914,478,688 is 11647540720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 155, 688, 914, 478, 688?
Answer: LCM of 155, 688, 914, 478, 688 is 11647540720.
2. How to calculate the LCM of 155, 688, 914, 478, 688?
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 155, 688, 914, 478, 688.
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}.