LCM of 614, 946, 680, 612, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 946, 680, 612, 988 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 614, 946, 680, 612, 988. So, keep reading to learn more.
Given numbers are 614,946,680,612,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,946,680,612,988 is 219506756040.
Find LCM of 614,946,680,612,988 with Prime Factorization
| 2 | 614, 946, 680, 612, 988 |
| 2 | 307, 473, 340, 306, 494 |
| 17 | 307, 473, 170, 153, 247 |
| 307, 473, 10, 9, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 307 x 473 x 10 x 9 x 247 = 219506756040
Therefore, the lowest common multiple of 614,946,680,612,988 is 219506756040.
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.
614 x 946 x 680 x 612 x 988 = 238823350571520
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.
614 : 1, 2, 307, 614
946 : 1, 2, 11, 22, 43, 86, 473, 946
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,946,680,612,988, is 2.
Now, the common factors can be found like this.
614:2x 307
946:2x 11x 43
680:2x 2x 2x 5x 17
612:2x 2x 3x 3x 17
988:2x 2x 13x 19
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 = 238823350571520/(2x544)
LCM = 238823350571520/1088
LCM = 219506756040
Thus, we can understand that the LCM of 614,946,680,612,988 is 219506756040.
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FAQs on LCM of 614, 946, 680, 612, 988
1. What is the LCM of 614, 946, 680, 612, 988?
Answer: LCM of 614, 946, 680, 612, 988 is 219506756040.
2. How to calculate the LCM of 614, 946, 680, 612, 988?
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 614, 946, 680, 612, 988.
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}.