LCM of 406, 202, 107, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 406, 202, 107, 749 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 406, 202, 107, 749. So, keep reading to learn more.
Given numbers are 406,202,107,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 406,202,107,749 is 4387642.
Find LCM of 406,202,107,749 with Prime Factorization
| 2 | 406, 202, 107, 749 |
| 7 | 203, 101, 107, 749 |
| 107 | 29, 101, 107, 107 |
| 29, 101, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 107 x 29 x 101 x 1 x 1 = 4387642
Therefore, the lowest common multiple of 406,202,107,749 is 4387642.
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.
406 x 202 x 107 x 749 = 6572687716
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.
406 : 1, 2, 7, 14, 29, 58, 203, 406
202 : 1, 2, 101, 202
107 : 1, 107
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,202,107,749, is 1.
Now, the common factors can be found like this.
406:2x 7x 29
202:2x 101
107:107
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 107 = 1498
Therefore, the value for common factors is 1498.
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 = 6572687716/(1x1498)
LCM = 6572687716/1498
LCM = 4387642
Thus, we can understand that the LCM of 406,202,107,749 is 4387642.
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FAQs on LCM of 406, 202, 107, 749
1. What is the LCM of 406, 202, 107, 749?
Answer: LCM of 406, 202, 107, 749 is 4387642.
2. How to calculate the LCM of 406, 202, 107, 749?
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 406, 202, 107, 749.
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}.