LCM of 314, 892, 542, 612, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 892, 542, 612, 680 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 314, 892, 542, 612, 680. So, keep reading to learn more.
Given numbers are 314,892,542,612,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,892,542,612,680 is 58066443720.
Find LCM of 314,892,542,612,680 with Prime Factorization
| 2 | 314, 892, 542, 612, 680 |
| 2 | 157, 446, 271, 306, 340 |
| 17 | 157, 223, 271, 153, 170 |
| 157, 223, 271, 9, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 157 x 223 x 271 x 9 x 10 = 58066443720
Therefore, the lowest common multiple of 314,892,542,612,680 is 58066443720.
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.
314 x 892 x 542 x 612 x 680 = 63176290767360
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.
314 : 1, 2, 157, 314
892 : 1, 2, 4, 223, 446, 892
542 : 1, 2, 271, 542
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,892,542,612,680, is 2.
Now, the common factors can be found like this.
314:2x 157
892:2x 2x 223
542:2x 271
612:2x 2x 3x 3x 17
680:2x 2x 2x 5x 17
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 2x 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 63176290767360/(2x544)
LCM = 63176290767360/1088
LCM = 58066443720
Thus, we can understand that the LCM of 314,892,542,612,680 is 58066443720.
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FAQs on LCM of 314, 892, 542, 612, 680
1. What is the LCM of 314, 892, 542, 612, 680?
Answer: LCM of 314, 892, 542, 612, 680 is 58066443720.
2. How to calculate the LCM of 314, 892, 542, 612, 680?
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 314, 892, 542, 612, 680.
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}.