LCM of 612, 680, 684, 110, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 680, 684, 110, 748 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 612, 680, 684, 110, 748. So, keep reading to learn more.
Given numbers are 612,680,684,110,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,680,684,110,748 is 1279080.
Find LCM of 612,680,684,110,748 with Prime Factorization
| 2 | 612, 680, 684, 110, 748 |
| 2 | 306, 340, 342, 55, 374 |
| 3 | 153, 170, 171, 55, 187 |
| 3 | 51, 170, 57, 55, 187 |
| 5 | 17, 170, 19, 55, 187 |
| 11 | 17, 34, 19, 11, 187 |
| 17 | 17, 34, 19, 1, 17 |
| 1, 2, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 17 x 1 x 2 x 19 x 1 x 1 = 1279080
Therefore, the lowest common multiple of 612,680,684,110,748 is 1279080.
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.
612 x 680 x 684 x 110 x 748 = 23421285043200
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.
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
110 : 1, 2, 5, 10, 11, 22, 55, 110
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,680,684,110,748, is 2.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
680:2x 2x 2x 5x 17
684:2x 2x 3x 3x 19
110:2x 5x 11
748:2x 2x 11x 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 2x 3x 3x 5x 11x 17x 17 = 9155520
Therefore, the value for common factors is 9155520.
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 = 23421285043200/(2x9155520)
LCM = 23421285043200/18311040
LCM = 1279080
Thus, we can understand that the LCM of 612,680,684,110,748 is 1279080.
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FAQs on LCM of 612, 680, 684, 110, 748
1. What is the LCM of 612, 680, 684, 110, 748?
Answer: LCM of 612, 680, 684, 110, 748 is 1279080.
2. How to calculate the LCM of 612, 680, 684, 110, 748?
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 612, 680, 684, 110, 748.
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}.