LCM of 391, 470, 470, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 470, 470, 677 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 391, 470, 470, 677. So, keep reading to learn more.
Given numbers are 391,470,470,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,470,470,677 is 124412290.
Find LCM of 391,470,470,677 with Prime Factorization
| 2 | 391, 470, 470, 677 |
| 5 | 391, 235, 235, 677 |
| 47 | 391, 47, 47, 677 |
| 391, 1, 1, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 391 x 1 x 1 x 677 = 124412290
Therefore, the lowest common multiple of 391,470,470,677 is 124412290.
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.
391 x 470 x 470 x 677 = 58473776300
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.
391 : 1, 17, 23, 391
470 : 1, 2, 5, 10, 47, 94, 235, 470
470 : 1, 2, 5, 10, 47, 94, 235, 470
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,470,470,677, is 1.
Now, the common factors can be found like this.
391:17x 23
470:2x 5x 47
470:2x 5x 47
677:677
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 47 = 470
Therefore, the value for common factors is 470.
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 = 58473776300/(1x470)
LCM = 58473776300/470
LCM = 124412290
Thus, we can understand that the LCM of 391,470,470,677 is 124412290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 391, 470, 470, 677
1. What is the LCM of 391, 470, 470, 677?
Answer: LCM of 391, 470, 470, 677 is 124412290.
2. How to calculate the LCM of 391, 470, 470, 677?
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 391, 470, 470, 677.
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}.