LCM of 182, 759, 496, 649, 274
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 759, 496, 649, 274 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 182, 759, 496, 649, 274. So, keep reading to learn more.
Given numbers are 182,759,496,649,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,759,496,649,274 is 276909224592.
Find LCM of 182,759,496,649,274 with Prime Factorization
| 2 | 182, 759, 496, 649, 274 |
| 11 | 91, 759, 248, 649, 137 |
| 91, 69, 248, 59, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 91 x 69 x 248 x 59 x 137 = 276909224592
Therefore, the lowest common multiple of 182,759,496,649,274 is 276909224592.
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.
182 x 759 x 496 x 649 x 274 = 12184005882048
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
759 : 1, 3, 11, 23, 33, 69, 253, 759
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
649 : 1, 11, 59, 649
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,759,496,649,274, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
759:3x 11x 23
496:2x 2x 2x 2x 31
649:11x 59
274:2x 137
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 11 = 44
Therefore, the value for common factors is 44.
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 = 12184005882048/(1x44)
LCM = 12184005882048/44
LCM = 276909224592
Thus, we can understand that the LCM of 182,759,496,649,274 is 276909224592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 182, 759, 496, 649, 274
1. What is the LCM of 182, 759, 496, 649, 274?
Answer: LCM of 182, 759, 496, 649, 274 is 276909224592.
2. How to calculate the LCM of 182, 759, 496, 649, 274?
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 182, 759, 496, 649, 274.
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}.