Find the LCM of 279, 777, 381, 931, 724 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 279, 777, 381, 931, 724. So, keep reading to learn more.
Given numbers are 279,777,381,931,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,777,381,931,724 is 883685838924.
Find LCM of 279,777,381,931,724 with Prime Factorization
3 | 279, 777, 381, 931, 724 |
7 | 93, 259, 127, 931, 724 |
93, 37, 127, 133, 724 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 93 x 37 x 127 x 133 x 724 = 883685838924
Therefore, the lowest common multiple of 279,777,381,931,724 is 883685838924.
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.
279 x 777 x 381 x 931 x 724 = 55672207852212
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.
279 : 1, 3, 9, 31, 93, 279
777 : 1, 3, 7, 21, 37, 111, 259, 777
381 : 1, 3, 127, 381
931 : 1, 7, 19, 49, 133, 931
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,777,381,931,724, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
777:3x 7x 37
381:3x 127
931:7x 7x 19
724:2x 2x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 55672207852212/(1x63)
LCM = 55672207852212/63
LCM = 883685838924
Thus, we can understand that the LCM of 279,777,381,931,724 is 883685838924.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 777, 381, 931, 724?
Answer: LCM of 279, 777, 381, 931, 724 is 883685838924.
2. How to calculate the LCM of 279, 777, 381, 931, 724?
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 279, 777, 381, 931, 724.
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}.