LCM of 339, 754, 957, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 339, 754, 957, 542 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 339, 754, 957, 542. So, keep reading to learn more.
Given numbers are 339,754,957,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 339,754,957,542 is 761961486.
Find LCM of 339,754,957,542 with Prime Factorization
| 2 | 339, 754, 957, 542 |
| 3 | 339, 377, 957, 271 |
| 29 | 113, 377, 319, 271 |
| 113, 13, 11, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 113 x 13 x 11 x 271 = 761961486
Therefore, the lowest common multiple of 339,754,957,542 is 761961486.
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.
339 x 754 x 957 x 542 = 132581298564
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.
339 : 1, 3, 113, 339
754 : 1, 2, 13, 26, 29, 58, 377, 754
957 : 1, 3, 11, 29, 33, 87, 319, 957
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,754,957,542, is 1.
Now, the common factors can be found like this.
339:3x 113
754:2x 13x 29
957:3x 11x 29
542:2x 271
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 29 = 174
Therefore, the value for common factors is 174.
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 = 132581298564/(1x174)
LCM = 132581298564/174
LCM = 761961486
Thus, we can understand that the LCM of 339,754,957,542 is 761961486.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 339, 754, 957, 542
1. What is the LCM of 339, 754, 957, 542?
Answer: LCM of 339, 754, 957, 542 is 761961486.
2. How to calculate the LCM of 339, 754, 957, 542?
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 339, 754, 957, 542.
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}.