LCM of 733, 553, 527, 306, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 733, 553, 527, 306, 316 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 733, 553, 527, 306, 316. So, keep reading to learn more.
Given numbers are 733,553,527,306,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 733,553,527,306,316 is 7690281228.
Find LCM of 733,553,527,306,316 with Prime Factorization
| 2 | 733, 553, 527, 306, 316 |
| 17 | 733, 553, 527, 153, 158 |
| 79 | 733, 553, 31, 9, 158 |
| 733, 7, 31, 9, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 79 x 733 x 7 x 31 x 9 x 2 = 7690281228
Therefore, the lowest common multiple of 733,553,527,306,316 is 7690281228.
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.
733 x 553 x 527 x 306 x 316 = 20656095378408
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.
733 : 1, 733
553 : 1, 7, 79, 553
527 : 1, 17, 31, 527
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,553,527,306,316, is 1.
Now, the common factors can be found like this.
733:733
553:7x 79
527:17x 31
306:2x 3x 3x 17
316:2x 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 17x 79 = 2686
Therefore, the value for common factors is 2686.
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 = 20656095378408/(1x2686)
LCM = 20656095378408/2686
LCM = 7690281228
Thus, we can understand that the LCM of 733,553,527,306,316 is 7690281228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 733, 553, 527, 306, 316
1. What is the LCM of 733, 553, 527, 306, 316?
Answer: LCM of 733, 553, 527, 306, 316 is 7690281228.
2. How to calculate the LCM of 733, 553, 527, 306, 316?
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 733, 553, 527, 306, 316.
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}.