LCM of 342, 985, 256, 564, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 342, 985, 256, 564, 299 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 342, 985, 256, 564, 299. So, keep reading to learn more.
Given numbers are 342,985,256,564,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 342,985,256,564,299 is 605956366080.
Find LCM of 342,985,256,564,299 with Prime Factorization
| 2 | 342, 985, 256, 564, 299 |
| 2 | 171, 985, 128, 282, 299 |
| 3 | 171, 985, 64, 141, 299 |
| 57, 985, 64, 47, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 57 x 985 x 64 x 47 x 299 = 605956366080
Therefore, the lowest common multiple of 342,985,256,564,299 is 605956366080.
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.
342 x 985 x 256 x 564 x 299 = 14542952785920
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.
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
985 : 1, 5, 197, 985
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,985,256,564,299, is 1.
Now, the common factors can be found like this.
342:2x 3x 3x 19
985:5x 197
256:2x 2x 2x 2x 2x 2x 2x 2
564:2x 2x 3x 47
299:13x 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 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 = 14542952785920/(1x24)
LCM = 14542952785920/24
LCM = 605956366080
Thus, we can understand that the LCM of 342,985,256,564,299 is 605956366080.
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FAQs on LCM of 342, 985, 256, 564, 299
1. What is the LCM of 342, 985, 256, 564, 299?
Answer: LCM of 342, 985, 256, 564, 299 is 605956366080.
2. How to calculate the LCM of 342, 985, 256, 564, 299?
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 342, 985, 256, 564, 299.
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}.