LCM of 418, 749, 428, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 749, 428, 386 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 418, 749, 428, 386. So, keep reading to learn more.
Given numbers are 418,749,428,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,749,428,386 is 120849652.
Find LCM of 418,749,428,386 with Prime Factorization
| 2 | 418, 749, 428, 386 |
| 107 | 209, 749, 214, 193 |
| 209, 7, 2, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 107 x 209 x 7 x 2 x 193 = 120849652
Therefore, the lowest common multiple of 418,749,428,386 is 120849652.
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.
418 x 749 x 428 x 386 = 51723651056
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
749 : 1, 7, 107, 749
428 : 1, 2, 4, 107, 214, 428
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,749,428,386, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
749:7x 107
428:2x 2x 107
386:2x 193
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 107 = 428
Therefore, the value for common factors is 428.
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 = 51723651056/(1x428)
LCM = 51723651056/428
LCM = 120849652
Thus, we can understand that the LCM of 418,749,428,386 is 120849652.
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FAQs on LCM of 418, 749, 428, 386
1. What is the LCM of 418, 749, 428, 386?
Answer: LCM of 418, 749, 428, 386 is 120849652.
2. How to calculate the LCM of 418, 749, 428, 386?
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 418, 749, 428, 386.
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}.