LCM of 874, 714, 578, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 714, 578, 586 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, 714, 578, 586. So, keep reading to learn more.
Given numbers are 874,714,578,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,714,578,586 is 1554161658.
Find LCM of 874,714,578,586 with Prime Factorization
| 2 | 874, 714, 578, 586 |
| 17 | 437, 357, 289, 293 |
| 437, 21, 17, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 437 x 21 x 17 x 293 = 1554161658
Therefore, the lowest common multiple of 874,714,578,586 is 1554161658.
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 714 x 578 x 586 = 211365985488
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
578 : 1, 2, 17, 34, 289, 578
586 : 1, 2, 293, 586
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,714,578,586, is 2.
Now, the common factors can be found like this.
874:2x 19x 23
714:2x 3x 7x 17
578:2x 17x 17
586:2x 293
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 17 = 68
Therefore, the value for common factors is 68.
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 = 211365985488/(2x68)
LCM = 211365985488/136
LCM = 1554161658
Thus, we can understand that the LCM of 874,714,578,586 is 1554161658.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 714, 578, 586
1. What is the LCM of 874, 714, 578, 586?
Answer: LCM of 874, 714, 578, 586 is 1554161658.
2. How to calculate the LCM of 874, 714, 578, 586?
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, 714, 578, 586.
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}.