LCM of 894, 537, 680, 612, 761
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 894, 537, 680, 612, 761 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 894, 537, 680, 612, 761. So, keep reading to learn more.
Given numbers are 894,537,680,612,761
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,537,680,612,761 is 124215381720.
Find LCM of 894,537,680,612,761 with Prime Factorization
| 2 | 894, 537, 680, 612, 761 |
| 2 | 447, 537, 340, 306, 761 |
| 3 | 447, 537, 170, 153, 761 |
| 17 | 149, 179, 170, 51, 761 |
| 149, 179, 10, 3, 761 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 149 x 179 x 10 x 3 x 761 = 124215381720
Therefore, the lowest common multiple of 894,537,680,612,761 is 124215381720.
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.
894 x 537 x 680 x 612 x 761 = 152039627225280
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
537 : 1, 3, 179, 537
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
761 : 1, 761
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,537,680,612,761, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
537:3x 179
680:2x 2x 2x 5x 17
612:2x 2x 3x 3x 17
761:761
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 3x 3x 17 = 1224
Therefore, the value for common factors is 1224.
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 = 152039627225280/(1x1224)
LCM = 152039627225280/1224
LCM = 124215381720
Thus, we can understand that the LCM of 894,537,680,612,761 is 124215381720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 894, 537, 680, 612, 761
1. What is the LCM of 894, 537, 680, 612, 761?
Answer: LCM of 894, 537, 680, 612, 761 is 124215381720.
2. How to calculate the LCM of 894, 537, 680, 612, 761?
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 894, 537, 680, 612, 761.
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}.