LCM of 618, 674, 498, 432, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 674, 498, 432, 852 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 618, 674, 498, 432, 852. So, keep reading to learn more.
Given numbers are 618,674,498,432,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,674,498,432,852 is 88366430736.
Find LCM of 618,674,498,432,852 with Prime Factorization
| 2 | 618, 674, 498, 432, 852 |
| 2 | 309, 337, 249, 216, 426 |
| 3 | 309, 337, 249, 108, 213 |
| 103, 337, 83, 36, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 337 x 83 x 36 x 71 = 88366430736
Therefore, the lowest common multiple of 618,674,498,432,852 is 88366430736.
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.
618 x 674 x 498 x 432 x 852 = 76348596155904
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
674 : 1, 2, 337, 674
498 : 1, 2, 3, 6, 83, 166, 249, 498
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,674,498,432,852, is 2.
Now, the common factors can be found like this.
618:2x 3x 103
674:2x 337
498:2x 3x 83
432:2x 2x 2x 2x 3x 3x 3
852:2x 2x 3x 71
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 2x 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 76348596155904/(2x432)
LCM = 76348596155904/864
LCM = 88366430736
Thus, we can understand that the LCM of 618,674,498,432,852 is 88366430736.
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FAQs on LCM of 618, 674, 498, 432, 852
1. What is the LCM of 618, 674, 498, 432, 852?
Answer: LCM of 618, 674, 498, 432, 852 is 88366430736.
2. How to calculate the LCM of 618, 674, 498, 432, 852?
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 618, 674, 498, 432, 852.
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}.