Find the LCM of 942, 136, 689, 169 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 942, 136, 689, 169. So, keep reading to learn more.
Given numbers are 942,136,689,169
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,136,689,169 is 573749592.
Find LCM of 942,136,689,169 with Prime Factorization
2 | 942, 136, 689, 169 |
13 | 471, 68, 689, 169 |
471, 68, 53, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 471 x 68 x 53 x 13 = 573749592
Therefore, the lowest common multiple of 942,136,689,169 is 573749592.
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.
942 x 136 x 689 x 169 = 14917489392
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
136 : 1, 2, 4, 8, 17, 34, 68, 136
689 : 1, 13, 53, 689
169 : 1, 13, 169
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,136,689,169, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
136:2x 2x 2x 17
689:13x 53
169:13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 14917489392/(1x26)
LCM = 14917489392/26
LCM = 573749592
Thus, we can understand that the LCM of 942,136,689,169 is 573749592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 942, 136, 689, 169?
Answer: LCM of 942, 136, 689, 169 is 573749592.
2. How to calculate the LCM of 942, 136, 689, 169?
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 942, 136, 689, 169.
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}.