LCM of 304, 916, 532, 617, 631
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 304, 916, 532, 617, 631 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 304, 916, 532, 617, 631. So, keep reading to learn more.
Given numbers are 304,916,532,617,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,916,532,617,631 is 189723719024.
Find LCM of 304,916,532,617,631 with Prime Factorization
| 2 | 304, 916, 532, 617, 631 |
| 2 | 152, 458, 266, 617, 631 |
| 19 | 76, 229, 133, 617, 631 |
| 4, 229, 7, 617, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 4 x 229 x 7 x 617 x 631 = 189723719024
Therefore, the lowest common multiple of 304,916,532,617,631 is 189723719024.
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.
304 x 916 x 532 x 617 x 631 = 57676010583296
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
916 : 1, 2, 4, 229, 458, 916
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
617 : 1, 617
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,916,532,617,631, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
916:2x 2x 229
532:2x 2x 7x 19
617:617
631:631
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 2x 19 = 304
Therefore, the value for common factors is 304.
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 = 57676010583296/(1x304)
LCM = 57676010583296/304
LCM = 189723719024
Thus, we can understand that the LCM of 304,916,532,617,631 is 189723719024.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 304, 916, 532, 617, 631
1. What is the LCM of 304, 916, 532, 617, 631?
Answer: LCM of 304, 916, 532, 617, 631 is 189723719024.
2. How to calculate the LCM of 304, 916, 532, 617, 631?
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 304, 916, 532, 617, 631.
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}.