LCM of 674, 901, 828, 456, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 674, 901, 828, 456, 230 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 674, 901, 828, 456, 230. So, keep reading to learn more.
Given numbers are 674,901,828,456,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,901,828,456,230 is 47768172840.
Find LCM of 674,901,828,456,230 with Prime Factorization
| 2 | 674, 901, 828, 456, 230 |
| 2 | 337, 901, 414, 228, 115 |
| 3 | 337, 901, 207, 114, 115 |
| 23 | 337, 901, 69, 38, 115 |
| 337, 901, 3, 38, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 337 x 901 x 3 x 38 x 5 = 47768172840
Therefore, the lowest common multiple of 674,901,828,456,230 is 47768172840.
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.
674 x 901 x 828 x 456 x 230 = 52736062815360
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.
674 : 1, 2, 337, 674
901 : 1, 17, 53, 901
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,901,828,456,230, is 1.
Now, the common factors can be found like this.
674:2x 337
901:17x 53
828:2x 2x 3x 3x 23
456:2x 2x 2x 3x 19
230:2x 5x 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 2x 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 52736062815360/(1x1104)
LCM = 52736062815360/1104
LCM = 47768172840
Thus, we can understand that the LCM of 674,901,828,456,230 is 47768172840.
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FAQs on LCM of 674, 901, 828, 456, 230
1. What is the LCM of 674, 901, 828, 456, 230?
Answer: LCM of 674, 901, 828, 456, 230 is 47768172840.
2. How to calculate the LCM of 674, 901, 828, 456, 230?
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 674, 901, 828, 456, 230.
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}.