LCM of 755, 557, 930, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 755, 557, 930, 172 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 755, 557, 930, 172. So, keep reading to learn more.
Given numbers are 755,557,930,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 755,557,930,172 is 6726877860.
Find LCM of 755,557,930,172 with Prime Factorization
| 2 | 755, 557, 930, 172 |
| 5 | 755, 557, 465, 86 |
| 151, 557, 93, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 151 x 557 x 93 x 86 = 6726877860
Therefore, the lowest common multiple of 755,557,930,172 is 6726877860.
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.
755 x 557 x 930 x 172 = 67268778600
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.
755 : 1, 5, 151, 755
557 : 1, 557
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,557,930,172, is 1.
Now, the common factors can be found like this.
755:5x 151
557:557
930:2x 3x 5x 31
172:2x 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 5 = 10
Therefore, the value for common factors is 10.
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 = 67268778600/(1x10)
LCM = 67268778600/10
LCM = 6726877860
Thus, we can understand that the LCM of 755,557,930,172 is 6726877860.
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FAQs on LCM of 755, 557, 930, 172
1. What is the LCM of 755, 557, 930, 172?
Answer: LCM of 755, 557, 930, 172 is 6726877860.
2. How to calculate the LCM of 755, 557, 930, 172?
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 755, 557, 930, 172.
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}.