LCM of 347, 721, 278, 428
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 721, 278, 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 347, 721, 278, 428. So, keep reading to learn more.
Given numbers are 347,721,278,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,721,278,428 is 14884125004.
Find LCM of 347,721,278,428 with Prime Factorization
| 2 | 347, 721, 278, 428 |
| 347, 721, 139, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 721 x 139 x 214 = 14884125004
Therefore, the lowest common multiple of 347,721,278,428 is 14884125004.
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.
347 x 721 x 278 x 428 = 29768250008
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.
347 : 1, 347
721 : 1, 7, 103, 721
278 : 1, 2, 139, 278
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 347,721,278,428, is 1.
Now, the common factors can be found like this.
347:347
721:7x 103
278:2x 139
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 29768250008/(1x2)
LCM = 29768250008/2
LCM = 14884125004
Thus, we can understand that the LCM of 347,721,278,428 is 14884125004.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 347, 721, 278, 428
1. What is the LCM of 347, 721, 278, 428?
Answer: LCM of 347, 721, 278, 428 is 14884125004.
2. How to calculate the LCM of 347, 721, 278, 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 347, 721, 278, 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}.