LCM of 620, 538, 119, 697, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 538, 119, 697, 312 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 620, 538, 119, 697, 312. So, keep reading to learn more.
Given numbers are 620,538,119,697,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,538,119,697,312 is 63470130360.
Find LCM of 620,538,119,697,312 with Prime Factorization
| 2 | 620, 538, 119, 697, 312 |
| 2 | 310, 269, 119, 697, 156 |
| 17 | 155, 269, 119, 697, 78 |
| 155, 269, 7, 41, 78 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 155 x 269 x 7 x 41 x 78 = 63470130360
Therefore, the lowest common multiple of 620,538,119,697,312 is 63470130360.
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.
620 x 538 x 119 x 697 x 312 = 8631937728960
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
538 : 1, 2, 269, 538
119 : 1, 7, 17, 119
697 : 1, 17, 41, 697
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,538,119,697,312, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
538:2x 269
119:7x 17
697:17x 41
312:2x 2x 2x 3x 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 2x 2x 17 = 136
Therefore, the value for common factors is 136.
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 = 8631937728960/(1x136)
LCM = 8631937728960/136
LCM = 63470130360
Thus, we can understand that the LCM of 620,538,119,697,312 is 63470130360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 620, 538, 119, 697, 312
1. What is the LCM of 620, 538, 119, 697, 312?
Answer: LCM of 620, 538, 119, 697, 312 is 63470130360.
2. How to calculate the LCM of 620, 538, 119, 697, 312?
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 620, 538, 119, 697, 312.
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}.