LCM of 434, 578, 912, 306, 653
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 578, 912, 306, 653 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 434, 578, 912, 306, 653. So, keep reading to learn more.
Given numbers are 434,578,912,306,653
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,578,912,306,653 is 112043547504.
Find LCM of 434,578,912,306,653 with Prime Factorization
| 2 | 434, 578, 912, 306, 653 |
| 3 | 217, 289, 456, 153, 653 |
| 17 | 217, 289, 152, 51, 653 |
| 217, 17, 152, 3, 653 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 217 x 17 x 152 x 3 x 653 = 112043547504
Therefore, the lowest common multiple of 434,578,912,306,653 is 112043547504.
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.
434 x 578 x 912 x 306 x 653 = 45713767381632
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
578 : 1, 2, 17, 34, 289, 578
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
653 : 1, 653
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,578,912,306,653, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
578:2x 17x 17
912:2x 2x 2x 2x 3x 19
306:2x 3x 3x 17
653:653
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 3x 17 = 408
Therefore, the value for common factors is 408.
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 = 45713767381632/(1x408)
LCM = 45713767381632/408
LCM = 112043547504
Thus, we can understand that the LCM of 434,578,912,306,653 is 112043547504.
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FAQs on LCM of 434, 578, 912, 306, 653
1. What is the LCM of 434, 578, 912, 306, 653?
Answer: LCM of 434, 578, 912, 306, 653 is 112043547504.
2. How to calculate the LCM of 434, 578, 912, 306, 653?
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 434, 578, 912, 306, 653.
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}.