Find the LCM of 278, 663, 676, 942 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 278, 663, 676, 942. So, keep reading to learn more.
Given numbers are 278,663,676,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,663,676,942 is 752369748.
Find LCM of 278,663,676,942 with Prime Factorization
2 | 278, 663, 676, 942 |
3 | 139, 663, 338, 471 |
13 | 139, 221, 338, 157 |
139, 17, 26, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 139 x 17 x 26 x 157 = 752369748
Therefore, the lowest common multiple of 278,663,676,942 is 752369748.
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.
278 x 663 x 676 x 942 = 117369680688
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.
278 : 1, 2, 139, 278
663 : 1, 3, 13, 17, 39, 51, 221, 663
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,663,676,942, is 1.
Now, the common factors can be found like this.
278:2x 139
663:3x 13x 17
676:2x 2x 13x 13
942:2x 3x 157
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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 117369680688/(1x156)
LCM = 117369680688/156
LCM = 752369748
Thus, we can understand that the LCM of 278,663,676,942 is 752369748.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 663, 676, 942?
Answer: LCM of 278, 663, 676, 942 is 752369748.
2. How to calculate the LCM of 278, 663, 676, 942?
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 278, 663, 676, 942.
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}.