Find the LCM of 918, 403, 276, 204, 746 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 918, 403, 276, 204, 746. So, keep reading to learn more.
Given numbers are 918,403,276,204,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 918,403,276,204,746 is 6347670732.
Find LCM of 918,403,276,204,746 with Prime Factorization
2 | 918, 403, 276, 204, 746 |
2 | 459, 403, 138, 102, 373 |
3 | 459, 403, 69, 51, 373 |
17 | 153, 403, 23, 17, 373 |
9, 403, 23, 1, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 9 x 403 x 23 x 1 x 373 = 6347670732
Therefore, the lowest common multiple of 918,403,276,204,746 is 6347670732.
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.
918 x 403 x 276 x 204 x 746 = 15539097951936
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.
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
403 : 1, 13, 31, 403
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,403,276,204,746, is 1.
Now, the common factors can be found like this.
918:2x 3x 3x 3x 17
403:13x 31
276:2x 2x 3x 23
204:2x 2x 3x 17
746:2x 373
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 2x 2x 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 15539097951936/(1x2448)
LCM = 15539097951936/2448
LCM = 6347670732
Thus, we can understand that the LCM of 918,403,276,204,746 is 6347670732.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 918, 403, 276, 204, 746?
Answer: LCM of 918, 403, 276, 204, 746 is 6347670732.
2. How to calculate the LCM of 918, 403, 276, 204, 746?
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 918, 403, 276, 204, 746.
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}.