LCM of 318, 933, 332, 724, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 933, 332, 724, 749 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 318, 933, 332, 724, 749. So, keep reading to learn more.
Given numbers are 318,933,332,724,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,933,332,724,749 is 2225645491692.
Find LCM of 318,933,332,724,749 with Prime Factorization
| 2 | 318, 933, 332, 724, 749 |
| 2 | 159, 933, 166, 362, 749 |
| 3 | 159, 933, 83, 181, 749 |
| 53, 311, 83, 181, 749 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 311 x 83 x 181 x 749 = 2225645491692
Therefore, the lowest common multiple of 318,933,332,724,749 is 2225645491692.
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.
318 x 933 x 332 x 724 x 749 = 53415491800608
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
933 : 1, 3, 311, 933
332 : 1, 2, 4, 83, 166, 332
724 : 1, 2, 4, 181, 362, 724
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,933,332,724,749, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
933:3x 311
332:2x 2x 83
724:2x 2x 181
749:7x 107
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 3 = 24
Therefore, the value for common factors is 24.
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 = 53415491800608/(1x24)
LCM = 53415491800608/24
LCM = 2225645491692
Thus, we can understand that the LCM of 318,933,332,724,749 is 2225645491692.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 318, 933, 332, 724, 749
1. What is the LCM of 318, 933, 332, 724, 749?
Answer: LCM of 318, 933, 332, 724, 749 is 2225645491692.
2. How to calculate the LCM of 318, 933, 332, 724, 749?
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 318, 933, 332, 724, 749.
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}.