LCM of 470, 363, 407, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 363, 407, 247 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 470, 363, 407, 247. So, keep reading to learn more.
Given numbers are 470,363,407,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,363,407,247 is 1559204790.
Find LCM of 470,363,407,247 with Prime Factorization
| 11 | 470, 363, 407, 247 |
| 470, 33, 37, 247 |
Multiply the prime numbers at the bottom and the left side.
11 x 470 x 33 x 37 x 247 = 1559204790
Therefore, the lowest common multiple of 470,363,407,247 is 1559204790.
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.
470 x 363 x 407 x 247 = 17151252690
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
363 : 1, 3, 11, 33, 121, 363
407 : 1, 11, 37, 407
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,363,407,247, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
363:3x 11x 11
407:11x 37
247:13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 17151252690/(1x11)
LCM = 17151252690/11
LCM = 1559204790
Thus, we can understand that the LCM of 470,363,407,247 is 1559204790.
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FAQs on LCM of 470, 363, 407, 247
1. What is the LCM of 470, 363, 407, 247?
Answer: LCM of 470, 363, 407, 247 is 1559204790.
2. How to calculate the LCM of 470, 363, 407, 247?
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 470, 363, 407, 247.
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}.