LCM of 274, 714, 483, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 714, 483, 813 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 274, 714, 483, 813. So, keep reading to learn more.
Given numbers are 274,714,483,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,714,483,813 is 609699594.
Find LCM of 274,714,483,813 with Prime Factorization
| 2 | 274, 714, 483, 813 |
| 3 | 137, 357, 483, 813 |
| 7 | 137, 119, 161, 271 |
| 137, 17, 23, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 137 x 17 x 23 x 271 = 609699594
Therefore, the lowest common multiple of 274,714,483,813 is 609699594.
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.
274 x 714 x 483 x 813 = 76822148844
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.
274 : 1, 2, 137, 274
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
483 : 1, 3, 7, 21, 23, 69, 161, 483
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,714,483,813, is 1.
Now, the common factors can be found like this.
274:2x 137
714:2x 3x 7x 17
483:3x 7x 23
813:3x 271
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 76822148844/(1x126)
LCM = 76822148844/126
LCM = 609699594
Thus, we can understand that the LCM of 274,714,483,813 is 609699594.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 274, 714, 483, 813
1. What is the LCM of 274, 714, 483, 813?
Answer: LCM of 274, 714, 483, 813 is 609699594.
2. How to calculate the LCM of 274, 714, 483, 813?
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 274, 714, 483, 813.
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}.