LCM of 357, 269, 962, 493, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 269, 962, 493, 138 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 357, 269, 962, 493, 138. So, keep reading to learn more.
Given numbers are 357,269,962,493,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,269,962,493,138 is 61619958582.
Find LCM of 357,269,962,493,138 with Prime Factorization
| 2 | 357, 269, 962, 493, 138 |
| 3 | 357, 269, 481, 493, 69 |
| 17 | 119, 269, 481, 493, 23 |
| 7, 269, 481, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 7 x 269 x 481 x 29 x 23 = 61619958582
Therefore, the lowest common multiple of 357,269,962,493,138 is 61619958582.
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.
357 x 269 x 962 x 493 x 138 = 6285235775364
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
269 : 1, 269
962 : 1, 2, 13, 26, 37, 74, 481, 962
493 : 1, 17, 29, 493
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,269,962,493,138, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
269:269
962:2x 13x 37
493:17x 29
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 6285235775364/(1x102)
LCM = 6285235775364/102
LCM = 61619958582
Thus, we can understand that the LCM of 357,269,962,493,138 is 61619958582.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 269, 962, 493, 138
1. What is the LCM of 357, 269, 962, 493, 138?
Answer: LCM of 357, 269, 962, 493, 138 is 61619958582.
2. How to calculate the LCM of 357, 269, 962, 493, 138?
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 357, 269, 962, 493, 138.
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}.