LCM of 862, 730, 466, 438, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 730, 466, 438, 980 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 862, 730, 466, 438, 980. So, keep reading to learn more.
Given numbers are 862,730,466,438,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,730,466,438,980 is 21552784260.
Find LCM of 862,730,466,438,980 with Prime Factorization
| 2 | 862, 730, 466, 438, 980 |
| 5 | 431, 365, 233, 219, 490 |
| 73 | 431, 73, 233, 219, 98 |
| 431, 1, 233, 3, 98 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 431 x 1 x 233 x 3 x 98 = 21552784260
Therefore, the lowest common multiple of 862,730,466,438,980 is 21552784260.
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.
862 x 730 x 466 x 438 x 980 = 125868260078400
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.
862 : 1, 2, 431, 862
730 : 1, 2, 5, 10, 73, 146, 365, 730
466 : 1, 2, 233, 466
438 : 1, 2, 3, 6, 73, 146, 219, 438
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,730,466,438,980, is 2.
Now, the common factors can be found like this.
862:2x 431
730:2x 5x 73
466:2x 233
438:2x 3x 73
980:2x 2x 5x 7x 7
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 5x 73 = 2920
Therefore, the value for common factors is 2920.
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 = 125868260078400/(2x2920)
LCM = 125868260078400/5840
LCM = 21552784260
Thus, we can understand that the LCM of 862,730,466,438,980 is 21552784260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 862, 730, 466, 438, 980
1. What is the LCM of 862, 730, 466, 438, 980?
Answer: LCM of 862, 730, 466, 438, 980 is 21552784260.
2. How to calculate the LCM of 862, 730, 466, 438, 980?
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 862, 730, 466, 438, 980.
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}.