LCM of 974, 682, 465, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 682, 465, 538 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 974, 682, 465, 538. So, keep reading to learn more.
Given numbers are 974,682,465,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,682,465,538 is 1340160690.
Find LCM of 974,682,465,538 with Prime Factorization
| 2 | 974, 682, 465, 538 |
| 31 | 487, 341, 465, 269 |
| 487, 11, 15, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 487 x 11 x 15 x 269 = 1340160690
Therefore, the lowest common multiple of 974,682,465,538 is 1340160690.
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.
974 x 682 x 465 x 538 = 166179925560
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.
974 : 1, 2, 487, 974
682 : 1, 2, 11, 22, 31, 62, 341, 682
465 : 1, 3, 5, 15, 31, 93, 155, 465
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,682,465,538, is 1.
Now, the common factors can be found like this.
974:2x 487
682:2x 11x 31
465:3x 5x 31
538:2x 269
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 31 = 124
Therefore, the value for common factors is 124.
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 = 166179925560/(1x124)
LCM = 166179925560/124
LCM = 1340160690
Thus, we can understand that the LCM of 974,682,465,538 is 1340160690.
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FAQs on LCM of 974, 682, 465, 538
1. What is the LCM of 974, 682, 465, 538?
Answer: LCM of 974, 682, 465, 538 is 1340160690.
2. How to calculate the LCM of 974, 682, 465, 538?
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 974, 682, 465, 538.
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}.