LCM of 696, 498, 754, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 498, 754, 972 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 696, 498, 754, 972. So, keep reading to learn more.
Given numbers are 696,498,754,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,498,754,972 is 60829704.
Find LCM of 696,498,754,972 with Prime Factorization
| 2 | 696, 498, 754, 972 |
| 2 | 348, 249, 377, 486 |
| 3 | 174, 249, 377, 243 |
| 29 | 58, 83, 377, 81 |
| 2, 83, 13, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 2 x 83 x 13 x 81 = 60829704
Therefore, the lowest common multiple of 696,498,754,972 is 60829704.
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.
696 x 498 x 754 x 972 = 254024843904
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
498 : 1, 2, 3, 6, 83, 166, 249, 498
754 : 1, 2, 13, 26, 29, 58, 377, 754
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,498,754,972, is 2.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
498:2x 3x 83
754:2x 13x 29
972:2x 2x 3x 3x 3x 3x 3
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 29 = 2088
Therefore, the value for common factors is 2088.
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 = 254024843904/(2x2088)
LCM = 254024843904/4176
LCM = 60829704
Thus, we can understand that the LCM of 696,498,754,972 is 60829704.
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FAQs on LCM of 696, 498, 754, 972
1. What is the LCM of 696, 498, 754, 972?
Answer: LCM of 696, 498, 754, 972 is 60829704.
2. How to calculate the LCM of 696, 498, 754, 972?
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 696, 498, 754, 972.
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}.