LCM of 762, 957, 116, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 957, 116, 702 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 762, 957, 116, 702. So, keep reading to learn more.
Given numbers are 762,957,116,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,957,116,702 is 56880252.
Find LCM of 762,957,116,702 with Prime Factorization
| 2 | 762, 957, 116, 702 |
| 3 | 381, 957, 58, 351 |
| 29 | 127, 319, 58, 117 |
| 127, 11, 2, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 127 x 11 x 2 x 117 = 56880252
Therefore, the lowest common multiple of 762,957,116,702 is 56880252.
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.
762 x 957 x 116 x 702 = 59382983088
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
957 : 1, 3, 11, 29, 33, 87, 319, 957
116 : 1, 2, 4, 29, 58, 116
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,957,116,702, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
957:3x 11x 29
116:2x 2x 29
702:2x 3x 3x 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 3x 3x 29 = 1044
Therefore, the value for common factors is 1044.
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 = 59382983088/(1x1044)
LCM = 59382983088/1044
LCM = 56880252
Thus, we can understand that the LCM of 762,957,116,702 is 56880252.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 762, 957, 116, 702
1. What is the LCM of 762, 957, 116, 702?
Answer: LCM of 762, 957, 116, 702 is 56880252.
2. How to calculate the LCM of 762, 957, 116, 702?
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 762, 957, 116, 702.
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}.