LCM of 674, 792, 418, 877, 674
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 792, 418, 877, 674 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 674, 792, 418, 877, 674. So, keep reading to learn more.
Given numbers are 674,792,418,877,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,792,418,877,674 is 4447421352.
Find LCM of 674,792,418,877,674 with Prime Factorization
| 2 | 674, 792, 418, 877, 674 |
| 11 | 337, 396, 209, 877, 337 |
| 337 | 337, 36, 19, 877, 337 |
| 1, 36, 19, 877, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 337 x 1 x 36 x 19 x 877 x 1 = 4447421352
Therefore, the lowest common multiple of 674,792,418,877,674 is 4447421352.
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.
674 x 792 x 418 x 877 x 674 = 131892727614912
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.
674 : 1, 2, 337, 674
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
418 : 1, 2, 11, 19, 22, 38, 209, 418
877 : 1, 877
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,792,418,877,674, is 1.
Now, the common factors can be found like this.
674:2x 337
792:2x 2x 2x 3x 3x 11
418:2x 11x 19
877:877
674:2x 337
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 11x 337 = 29656
Therefore, the value for common factors is 29656.
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 = 131892727614912/(1x29656)
LCM = 131892727614912/29656
LCM = 4447421352
Thus, we can understand that the LCM of 674,792,418,877,674 is 4447421352.
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FAQs on LCM of 674, 792, 418, 877, 674
1. What is the LCM of 674, 792, 418, 877, 674?
Answer: LCM of 674, 792, 418, 877, 674 is 4447421352.
2. How to calculate the LCM of 674, 792, 418, 877, 674?
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 674, 792, 418, 877, 674.
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}.