LCM of 972, 702, 932, 314
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 702, 932, 314 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 972, 702, 932, 314. So, keep reading to learn more.
Given numbers are 972,702,932,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,702,932,314 is 462237516.
Find LCM of 972,702,932,314 with Prime Factorization
| 2 | 972, 702, 932, 314 |
| 2 | 486, 351, 466, 157 |
| 3 | 243, 351, 233, 157 |
| 3 | 81, 117, 233, 157 |
| 3 | 27, 39, 233, 157 |
| 9, 13, 233, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 9 x 13 x 233 x 157 = 462237516
Therefore, the lowest common multiple of 972,702,932,314 is 462237516.
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.
972 x 702 x 932 x 314 = 199686606912
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
932 : 1, 2, 4, 233, 466, 932
314 : 1, 2, 157, 314
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,702,932,314, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
702:2x 3x 3x 3x 13
932:2x 2x 233
314:2x 157
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 199686606912/(2x216)
LCM = 199686606912/432
LCM = 462237516
Thus, we can understand that the LCM of 972,702,932,314 is 462237516.
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FAQs on LCM of 972, 702, 932, 314
1. What is the LCM of 972, 702, 932, 314?
Answer: LCM of 972, 702, 932, 314 is 462237516.
2. How to calculate the LCM of 972, 702, 932, 314?
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 972, 702, 932, 314.
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}.