LCM of 773, 278, 431, 773, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 278, 431, 773, 684 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 773, 278, 431, 773, 684. So, keep reading to learn more.
Given numbers are 773,278,431,773,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,278,431,773,684 is 31675805388.
Find LCM of 773,278,431,773,684 with Prime Factorization
| 2 | 773, 278, 431, 773, 684 |
| 773 | 773, 139, 431, 773, 342 |
| 1, 139, 431, 1, 342 |
Multiply the prime numbers at the bottom and the left side.
2 x 773 x 1 x 139 x 431 x 1 x 342 = 31675805388
Therefore, the lowest common multiple of 773,278,431,773,684 is 31675805388.
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.
773 x 278 x 431 x 773 x 684 = 48970795129848
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.
773 : 1, 773
278 : 1, 2, 139, 278
431 : 1, 431
773 : 1, 773
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,278,431,773,684, is 1.
Now, the common factors can be found like this.
773:773
278:2x 139
431:431
773:773
684:2x 2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 773 = 1546
Therefore, the value for common factors is 1546.
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 = 48970795129848/(1x1546)
LCM = 48970795129848/1546
LCM = 31675805388
Thus, we can understand that the LCM of 773,278,431,773,684 is 31675805388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 773, 278, 431, 773, 684
1. What is the LCM of 773, 278, 431, 773, 684?
Answer: LCM of 773, 278, 431, 773, 684 is 31675805388.
2. How to calculate the LCM of 773, 278, 431, 773, 684?
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 773, 278, 431, 773, 684.
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}.