Find the LCM of 156, 940, 169, 688, 620 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 156, 940, 169, 688, 620. So, keep reading to learn more.
Given numbers are 156,940,169,688,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,940,169,688,620 is 2541124560.
Find LCM of 156,940,169,688,620 with Prime Factorization
2 | 156, 940, 169, 688, 620 |
2 | 78, 470, 169, 344, 310 |
5 | 39, 235, 169, 172, 155 |
13 | 39, 47, 169, 172, 31 |
3, 47, 13, 172, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 3 x 47 x 13 x 172 x 31 = 2541124560
Therefore, the lowest common multiple of 156,940,169,688,620 is 2541124560.
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.
156 x 940 x 169 x 688 x 620 = 10571078169600
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
169 : 1, 13, 169
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,940,169,688,620, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
940:2x 2x 5x 47
169:13x 13
688:2x 2x 2x 2x 43
620:2x 2x 5x 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 5x 13 = 4160
Therefore, the value for common factors is 4160.
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 = 10571078169600/(1x4160)
LCM = 10571078169600/4160
LCM = 2541124560
Thus, we can understand that the LCM of 156,940,169,688,620 is 2541124560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 156, 940, 169, 688, 620?
Answer: LCM of 156, 940, 169, 688, 620 is 2541124560.
2. How to calculate the LCM of 156, 940, 169, 688, 620?
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 156, 940, 169, 688, 620.
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}.