LCM of 834, 274, 442, 362, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 274, 442, 362, 147 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 834, 274, 442, 362, 147. So, keep reading to learn more.
Given numbers are 834,274,442,362,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,274,442,362,147 is 223951278642.
Find LCM of 834,274,442,362,147 with Prime Factorization
| 2 | 834, 274, 442, 362, 147 |
| 3 | 417, 137, 221, 181, 147 |
| 139, 137, 221, 181, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 137 x 221 x 181 x 49 = 223951278642
Therefore, the lowest common multiple of 834,274,442,362,147 is 223951278642.
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.
834 x 274 x 442 x 362 x 147 = 5374830687408
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
274 : 1, 2, 137, 274
442 : 1, 2, 13, 17, 26, 34, 221, 442
362 : 1, 2, 181, 362
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,274,442,362,147, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
274:2x 137
442:2x 13x 17
362:2x 181
147:3x 7x 7
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 3 = 24
Therefore, the value for common factors is 24.
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 = 5374830687408/(1x24)
LCM = 5374830687408/24
LCM = 223951278642
Thus, we can understand that the LCM of 834,274,442,362,147 is 223951278642.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 834, 274, 442, 362, 147
1. What is the LCM of 834, 274, 442, 362, 147?
Answer: LCM of 834, 274, 442, 362, 147 is 223951278642.
2. How to calculate the LCM of 834, 274, 442, 362, 147?
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 834, 274, 442, 362, 147.
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}.