LCM of 346, 792, 577, 484, 837
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 792, 577, 484, 837 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 346, 792, 577, 484, 837. So, keep reading to learn more.
Given numbers are 346,792,577,484,837
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,792,577,484,837 is 80876571336.
Find LCM of 346,792,577,484,837 with Prime Factorization
| 2 | 346, 792, 577, 484, 837 |
| 2 | 173, 396, 577, 242, 837 |
| 3 | 173, 198, 577, 121, 837 |
| 3 | 173, 66, 577, 121, 279 |
| 11 | 173, 22, 577, 121, 93 |
| 173, 2, 577, 11, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 173 x 2 x 577 x 11 x 93 = 80876571336
Therefore, the lowest common multiple of 346,792,577,484,837 is 80876571336.
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.
346 x 792 x 577 x 484 x 837 = 64054244498112
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.
346 : 1, 2, 173, 346
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
577 : 1, 577
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
837 : 1, 3, 9, 27, 31, 93, 279, 837
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,792,577,484,837, is 1.
Now, the common factors can be found like this.
346:2x 173
792:2x 2x 2x 3x 3x 11
577:577
484:2x 2x 11x 11
837:3x 3x 3x 31
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 11 = 792
Therefore, the value for common factors is 792.
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 = 64054244498112/(1x792)
LCM = 64054244498112/792
LCM = 80876571336
Thus, we can understand that the LCM of 346,792,577,484,837 is 80876571336.
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FAQs on LCM of 346, 792, 577, 484, 837
1. What is the LCM of 346, 792, 577, 484, 837?
Answer: LCM of 346, 792, 577, 484, 837 is 80876571336.
2. How to calculate the LCM of 346, 792, 577, 484, 837?
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 346, 792, 577, 484, 837.
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}.