LCM of 361, 662, 898, 354, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 361, 662, 898, 354, 118 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 361, 662, 898, 354, 118. So, keep reading to learn more.
Given numbers are 361,662,898,354,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 361,662,898,354,118 is 18992616486.
Find LCM of 361,662,898,354,118 with Prime Factorization
| 2 | 361, 662, 898, 354, 118 |
| 59 | 361, 331, 449, 177, 59 |
| 361, 331, 449, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 361 x 331 x 449 x 3 x 1 = 18992616486
Therefore, the lowest common multiple of 361,662,898,354,118 is 18992616486.
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.
361 x 662 x 898 x 354 x 118 = 8964514981392
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.
361 : 1, 19, 361
662 : 1, 2, 331, 662
898 : 1, 2, 449, 898
354 : 1, 2, 3, 6, 59, 118, 177, 354
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,662,898,354,118, is 1.
Now, the common factors can be found like this.
361:19x 19
662:2x 331
898:2x 449
354:2x 3x 59
118:2x 59
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 59 = 472
Therefore, the value for common factors is 472.
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 = 8964514981392/(1x472)
LCM = 8964514981392/472
LCM = 18992616486
Thus, we can understand that the LCM of 361,662,898,354,118 is 18992616486.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 361, 662, 898, 354, 118
1. What is the LCM of 361, 662, 898, 354, 118?
Answer: LCM of 361, 662, 898, 354, 118 is 18992616486.
2. How to calculate the LCM of 361, 662, 898, 354, 118?
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 361, 662, 898, 354, 118.
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}.