LCM of 612, 416, 834, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 416, 834, 354 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 612, 416, 834, 354. So, keep reading to learn more.
Given numbers are 612,416,834,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,416,834,354 is 521977248.
Find LCM of 612,416,834,354 with Prime Factorization
| 2 | 612, 416, 834, 354 |
| 2 | 306, 208, 417, 177 |
| 3 | 153, 104, 417, 177 |
| 51, 104, 139, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 51 x 104 x 139 x 59 = 521977248
Therefore, the lowest common multiple of 612,416,834,354 is 521977248.
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.
612 x 416 x 834 x 354 = 75164723712
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
834 : 1, 2, 3, 6, 139, 278, 417, 834
354 : 1, 2, 3, 6, 59, 118, 177, 354
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,416,834,354, is 2.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
416:2x 2x 2x 2x 2x 13
834:2x 3x 139
354:2x 3x 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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 75164723712/(2x72)
LCM = 75164723712/144
LCM = 521977248
Thus, we can understand that the LCM of 612,416,834,354 is 521977248.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 612, 416, 834, 354
1. What is the LCM of 612, 416, 834, 354?
Answer: LCM of 612, 416, 834, 354 is 521977248.
2. How to calculate the LCM of 612, 416, 834, 354?
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 612, 416, 834, 354.
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}.