LCM of 749, 713, 481, 869, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 713, 481, 869, 222 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 749, 713, 481, 869, 222. So, keep reading to learn more.
Given numbers are 749,713,481,869,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,713,481,869,222 is 1339329549558.
Find LCM of 749,713,481,869,222 with Prime Factorization
| 37 | 749, 713, 481, 869, 222 |
| 749, 713, 13, 869, 6 |
Multiply the prime numbers at the bottom and the left side.
37 x 749 x 713 x 13 x 869 x 6 = 1339329549558
Therefore, the lowest common multiple of 749,713,481,869,222 is 1339329549558.
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.
749 x 713 x 481 x 869 x 222 = 49555193333646
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.
749 : 1, 7, 107, 749
713 : 1, 23, 31, 713
481 : 1, 13, 37, 481
869 : 1, 11, 79, 869
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,713,481,869,222, is 1.
Now, the common factors can be found like this.
749:7x 107
713:23x 31
481:13x 37
869:11x 79
222:2x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
37 = 37
Therefore, the value for common factors is 37.
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 = 49555193333646/(1x37)
LCM = 49555193333646/37
LCM = 1339329549558
Thus, we can understand that the LCM of 749,713,481,869,222 is 1339329549558.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 713, 481, 869, 222
1. What is the LCM of 749, 713, 481, 869, 222?
Answer: LCM of 749, 713, 481, 869, 222 is 1339329549558.
2. How to calculate the LCM of 749, 713, 481, 869, 222?
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 749, 713, 481, 869, 222.
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}.