LCM of 713, 548, 274, 212, 632
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 713, 548, 274, 212, 632 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 713, 548, 274, 212, 632. So, keep reading to learn more.
Given numbers are 713,548,274,212,632
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,548,274,212,632 is 3271922776.
Find LCM of 713,548,274,212,632 with Prime Factorization
| 2 | 713, 548, 274, 212, 632 |
| 2 | 713, 274, 137, 106, 316 |
| 137 | 713, 137, 137, 53, 158 |
| 713, 1, 1, 53, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 137 x 713 x 1 x 1 x 53 x 158 = 3271922776
Therefore, the lowest common multiple of 713,548,274,212,632 is 3271922776.
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.
713 x 548 x 274 x 212 x 632 = 14344109449984
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.
713 : 1, 23, 31, 713
548 : 1, 2, 4, 137, 274, 548
274 : 1, 2, 137, 274
212 : 1, 2, 4, 53, 106, 212
632 : 1, 2, 4, 8, 79, 158, 316, 632
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,548,274,212,632, is 1.
Now, the common factors can be found like this.
713:23x 31
548:2x 2x 137
274:2x 137
212:2x 2x 53
632:2x 2x 2x 79
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 2x 137 = 4384
Therefore, the value for common factors is 4384.
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 = 14344109449984/(1x4384)
LCM = 14344109449984/4384
LCM = 3271922776
Thus, we can understand that the LCM of 713,548,274,212,632 is 3271922776.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 713, 548, 274, 212, 632
1. What is the LCM of 713, 548, 274, 212, 632?
Answer: LCM of 713, 548, 274, 212, 632 is 3271922776.
2. How to calculate the LCM of 713, 548, 274, 212, 632?
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 713, 548, 274, 212, 632.
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}.