LCM of 792, 862, 972, 526, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 862, 972, 526, 618 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 792, 862, 972, 526, 618. So, keep reading to learn more.
Given numbers are 792,862,972,526,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,862,972,526,618 is 249665876856.
Find LCM of 792,862,972,526,618 with Prime Factorization
| 2 | 792, 862, 972, 526, 618 |
| 2 | 396, 431, 486, 263, 309 |
| 3 | 198, 431, 243, 263, 309 |
| 3 | 66, 431, 81, 263, 103 |
| 22, 431, 27, 263, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 22 x 431 x 27 x 263 x 103 = 249665876856
Therefore, the lowest common multiple of 792,862,972,526,618 is 249665876856.
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.
792 x 862 x 972 x 526 x 618 = 215711317603584
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
862 : 1, 2, 431, 862
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
526 : 1, 2, 263, 526
618 : 1, 2, 3, 6, 103, 206, 309, 618
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,862,972,526,618, is 2.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
862:2x 431
972:2x 2x 3x 3x 3x 3x 3
526:2x 263
618:2x 3x 103
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 215711317603584/(2x432)
LCM = 215711317603584/864
LCM = 249665876856
Thus, we can understand that the LCM of 792,862,972,526,618 is 249665876856.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 792, 862, 972, 526, 618
1. What is the LCM of 792, 862, 972, 526, 618?
Answer: LCM of 792, 862, 972, 526, 618 is 249665876856.
2. How to calculate the LCM of 792, 862, 972, 526, 618?
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 792, 862, 972, 526, 618.
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}.