LCM of 678, 113, 492, 451, 334
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 113, 492, 451, 334 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 678, 113, 492, 451, 334. So, keep reading to learn more.
Given numbers are 678,113,492,451,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,113,492,451,334 is 102129852.
Find LCM of 678,113,492,451,334 with Prime Factorization
| 2 | 678, 113, 492, 451, 334 |
| 3 | 339, 113, 246, 451, 167 |
| 41 | 113, 113, 82, 451, 167 |
| 113 | 113, 113, 2, 11, 167 |
| 1, 1, 2, 11, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 113 x 1 x 1 x 2 x 11 x 167 = 102129852
Therefore, the lowest common multiple of 678,113,492,451,334 is 102129852.
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.
678 x 113 x 492 x 451 x 334 = 5678011251792
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
113 : 1, 113
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
451 : 1, 11, 41, 451
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,113,492,451,334, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
113:113
492:2x 2x 3x 41
451:11x 41
334:2x 167
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 3x 41x 113 = 55596
Therefore, the value for common factors is 55596.
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 = 5678011251792/(1x55596)
LCM = 5678011251792/55596
LCM = 102129852
Thus, we can understand that the LCM of 678,113,492,451,334 is 102129852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 113, 492, 451, 334
1. What is the LCM of 678, 113, 492, 451, 334?
Answer: LCM of 678, 113, 492, 451, 334 is 102129852.
2. How to calculate the LCM of 678, 113, 492, 451, 334?
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 678, 113, 492, 451, 334.
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}.