LCM of 302, 318, 566, 909, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 302, 318, 566, 909, 359 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 302, 318, 566, 909, 359. So, keep reading to learn more.
Given numbers are 302,318,566,909,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 302,318,566,909,359 is 1478180878038.
Find LCM of 302,318,566,909,359 with Prime Factorization
| 2 | 302, 318, 566, 909, 359 |
| 3 | 151, 159, 283, 909, 359 |
| 151, 53, 283, 303, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 53 x 283 x 303 x 359 = 1478180878038
Therefore, the lowest common multiple of 302,318,566,909,359 is 1478180878038.
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.
302 x 318 x 566 x 909 x 359 = 17738170536456
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.
302 : 1, 2, 151, 302
318 : 1, 2, 3, 6, 53, 106, 159, 318
566 : 1, 2, 283, 566
909 : 1, 3, 9, 101, 303, 909
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,318,566,909,359, is 1.
Now, the common factors can be found like this.
302:2x 151
318:2x 3x 53
566:2x 283
909:3x 3x 101
359:359
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 = 17738170536456/(1x12)
LCM = 17738170536456/12
LCM = 1478180878038
Thus, we can understand that the LCM of 302,318,566,909,359 is 1478180878038.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 302, 318, 566, 909, 359
1. What is the LCM of 302, 318, 566, 909, 359?
Answer: LCM of 302, 318, 566, 909, 359 is 1478180878038.
2. How to calculate the LCM of 302, 318, 566, 909, 359?
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 302, 318, 566, 909, 359.
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}.