LCM of 303, 402, 514, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 402, 514, 736 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 303, 402, 514, 736. So, keep reading to learn more.
Given numbers are 303,402,514,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,402,514,736 is 3839974752.
Find LCM of 303,402,514,736 with Prime Factorization
| 2 | 303, 402, 514, 736 |
| 3 | 303, 201, 257, 368 |
| 101, 67, 257, 368 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 101 x 67 x 257 x 368 = 3839974752
Therefore, the lowest common multiple of 303,402,514,736 is 3839974752.
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.
303 x 402 x 514 x 736 = 46079697024
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.
303 : 1, 3, 101, 303
402 : 1, 2, 3, 6, 67, 134, 201, 402
514 : 1, 2, 257, 514
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,402,514,736, is 1.
Now, the common factors can be found like this.
303:3x 101
402:2x 3x 67
514:2x 257
736:2x 2x 2x 2x 2x 23
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 3 = 12
Therefore, the value for common factors is 12.
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 = 46079697024/(1x12)
LCM = 46079697024/12
LCM = 3839974752
Thus, we can understand that the LCM of 303,402,514,736 is 3839974752.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 402, 514, 736
1. What is the LCM of 303, 402, 514, 736?
Answer: LCM of 303, 402, 514, 736 is 3839974752.
2. How to calculate the LCM of 303, 402, 514, 736?
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 303, 402, 514, 736.
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}.