LCM of 318, 329, 137, 533, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 318, 329, 137, 533, 411 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, 329, 137, 533, 411. So, keep reading to learn more.
Given numbers are 318,329,137,533,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,329,137,533,411 is 7639603062.
Find LCM of 318,329,137,533,411 with Prime Factorization
| 3 | 318, 329, 137, 533, 411 |
| 137 | 106, 329, 137, 533, 137 |
| 106, 329, 1, 533, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 137 x 106 x 329 x 1 x 533 x 1 = 7639603062
Therefore, the lowest common multiple of 318,329,137,533,411 is 7639603062.
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 329 x 137 x 533 x 411 = 3139876858482
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
329 : 1, 7, 47, 329
137 : 1, 137
533 : 1, 13, 41, 533
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,329,137,533,411, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
329:7x 47
137:137
533:13x 41
411:3x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 137 = 411
Therefore, the value for common factors is 411.
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 = 3139876858482/(1x411)
LCM = 3139876858482/411
LCM = 7639603062
Thus, we can understand that the LCM of 318,329,137,533,411 is 7639603062.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 318, 329, 137, 533, 411
1. What is the LCM of 318, 329, 137, 533, 411?
Answer: LCM of 318, 329, 137, 533, 411 is 7639603062.
2. How to calculate the LCM of 318, 329, 137, 533, 411?
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, 329, 137, 533, 411.
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}.