LCM of 658, 572, 546, 762
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 572, 546, 762 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 658, 572, 546, 762. So, keep reading to learn more.
Given numbers are 658,572,546,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,572,546,762 is 71699628.
Find LCM of 658,572,546,762 with Prime Factorization
| 2 | 658, 572, 546, 762 |
| 3 | 329, 286, 273, 381 |
| 7 | 329, 286, 91, 127 |
| 13 | 47, 286, 13, 127 |
| 47, 22, 1, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 47 x 22 x 1 x 127 = 71699628
Therefore, the lowest common multiple of 658,572,546,762 is 71699628.
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.
658 x 572 x 546 x 762 = 156591987552
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
762 : 1, 2, 3, 6, 127, 254, 381, 762
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,572,546,762, is 2.
Now, the common factors can be found like this.
658:2x 7x 47
572:2x 2x 11x 13
546:2x 3x 7x 13
762:2x 3x 127
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 3x 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 156591987552/(2x1092)
LCM = 156591987552/2184
LCM = 71699628
Thus, we can understand that the LCM of 658,572,546,762 is 71699628.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 658, 572, 546, 762
1. What is the LCM of 658, 572, 546, 762?
Answer: LCM of 658, 572, 546, 762 is 71699628.
2. How to calculate the LCM of 658, 572, 546, 762?
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 658, 572, 546, 762.
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}.