LCM of 842, 376, 730, 510, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 376, 730, 510, 554 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 842, 376, 730, 510, 554. So, keep reading to learn more.
Given numbers are 842,376,730,510,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,376,730,510,554 is 816230371080.
Find LCM of 842,376,730,510,554 with Prime Factorization
| 2 | 842, 376, 730, 510, 554 |
| 5 | 421, 188, 365, 255, 277 |
| 421, 188, 73, 51, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 421 x 188 x 73 x 51 x 277 = 816230371080
Therefore, the lowest common multiple of 842,376,730,510,554 is 816230371080.
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.
842 x 376 x 730 x 510 x 554 = 65298429686400
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.
842 : 1, 2, 421, 842
376 : 1, 2, 4, 8, 47, 94, 188, 376
730 : 1, 2, 5, 10, 73, 146, 365, 730
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
554 : 1, 2, 277, 554
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,376,730,510,554, is 2.
Now, the common factors can be found like this.
842:2x 421
376:2x 2x 2x 47
730:2x 5x 73
510:2x 3x 5x 17
554:2x 277
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 5 = 40
Therefore, the value for common factors is 40.
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 = 65298429686400/(2x40)
LCM = 65298429686400/80
LCM = 816230371080
Thus, we can understand that the LCM of 842,376,730,510,554 is 816230371080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 842, 376, 730, 510, 554
1. What is the LCM of 842, 376, 730, 510, 554?
Answer: LCM of 842, 376, 730, 510, 554 is 816230371080.
2. How to calculate the LCM of 842, 376, 730, 510, 554?
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 842, 376, 730, 510, 554.
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}.