LCM of 379, 749, 716, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 749, 716, 428 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 379, 749, 716, 428. So, keep reading to learn more.
Given numbers are 379,749,716,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,749,716,428 is 203251636.
Find LCM of 379,749,716,428 with Prime Factorization
| 2 | 379, 749, 716, 428 |
| 2 | 379, 749, 358, 214 |
| 107 | 379, 749, 179, 107 |
| 379, 7, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 107 x 379 x 7 x 179 x 1 = 203251636
Therefore, the lowest common multiple of 379,749,716,428 is 203251636.
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.
379 x 749 x 716 x 428 = 86991700208
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.
379 : 1, 379
749 : 1, 7, 107, 749
716 : 1, 2, 4, 179, 358, 716
428 : 1, 2, 4, 107, 214, 428
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,749,716,428, is 1.
Now, the common factors can be found like this.
379:379
749:7x 107
716:2x 2x 179
428:2x 2x 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 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 = 86991700208/(1x428)
LCM = 86991700208/428
LCM = 203251636
Thus, we can understand that the LCM of 379,749,716,428 is 203251636.
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FAQs on LCM of 379, 749, 716, 428
1. What is the LCM of 379, 749, 716, 428?
Answer: LCM of 379, 749, 716, 428 is 203251636.
2. How to calculate the LCM of 379, 749, 716, 428?
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 379, 749, 716, 428.
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}.