LCM of 974, 493, 680, 435, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 493, 680, 435, 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, 493, 680, 435, 538. So, keep reading to learn more.
Given numbers are 974,493,680,435,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,493,680,435,538 is 7750137480.
Find LCM of 974,493,680,435,538 with Prime Factorization
| 2 | 974, 493, 680, 435, 538 |
| 5 | 487, 493, 340, 435, 269 |
| 17 | 487, 493, 68, 87, 269 |
| 29 | 487, 29, 4, 87, 269 |
| 487, 1, 4, 3, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 29 x 487 x 1 x 4 x 3 x 269 = 7750137480
Therefore, the lowest common multiple of 974,493,680,435,538 is 7750137480.
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 493 x 680 x 435 x 538 = 76416355552800
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
493 : 1, 17, 29, 493
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
435 : 1, 3, 5, 15, 29, 87, 145, 435
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,493,680,435,538, is 1.
Now, the common factors can be found like this.
974:2x 487
493:17x 29
680:2x 2x 2x 5x 17
435:3x 5x 29
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 5x 17x 29 = 9860
Therefore, the value for common factors is 9860.
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 = 76416355552800/(1x9860)
LCM = 76416355552800/9860
LCM = 7750137480
Thus, we can understand that the LCM of 974,493,680,435,538 is 7750137480.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 974, 493, 680, 435, 538
1. What is the LCM of 974, 493, 680, 435, 538?
Answer: LCM of 974, 493, 680, 435, 538 is 7750137480.
2. How to calculate the LCM of 974, 493, 680, 435, 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, 493, 680, 435, 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}.