LCM of 874, 321, 247, 611, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 321, 247, 611, 423 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 874, 321, 247, 611, 423. So, keep reading to learn more.
Given numbers are 874,321,247,611,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,321,247,611,423 is 514255482.
Find LCM of 874,321,247,611,423 with Prime Factorization
| 3 | 874, 321, 247, 611, 423 |
| 13 | 874, 107, 247, 611, 141 |
| 19 | 874, 107, 19, 47, 141 |
| 47 | 46, 107, 1, 47, 141 |
| 46, 107, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 47 x 46 x 107 x 1 x 1 x 3 = 514255482
Therefore, the lowest common multiple of 874,321,247,611,423 is 514255482.
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.
874 x 321 x 247 x 611 x 423 = 17909975671614
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
321 : 1, 3, 107, 321
247 : 1, 13, 19, 247
611 : 1, 13, 47, 611
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,321,247,611,423, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
321:3x 107
247:13x 19
611:13x 47
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 19x 47 = 34827
Therefore, the value for common factors is 34827.
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 = 17909975671614/(1x34827)
LCM = 17909975671614/34827
LCM = 514255482
Thus, we can understand that the LCM of 874,321,247,611,423 is 514255482.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 321, 247, 611, 423
1. What is the LCM of 874, 321, 247, 611, 423?
Answer: LCM of 874, 321, 247, 611, 423 is 514255482.
2. How to calculate the LCM of 874, 321, 247, 611, 423?
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 874, 321, 247, 611, 423.
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}.