Find the LCM of 874, 974, 717, 943, 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 874, 974, 717, 943, 428. So, keep reading to learn more.
Given numbers are 874,974,717,943,428
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,974,717,943,428 is 2677670781204.
Find LCM of 874,974,717,943,428 with Prime Factorization
2 | 874, 974, 717, 943, 428 |
23 | 437, 487, 717, 943, 214 |
19, 487, 717, 41, 214 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 19 x 487 x 717 x 41 x 214 = 2677670781204
Therefore, the lowest common multiple of 874,974,717,943,428 is 2677670781204.
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.
874 x 974 x 717 x 943 x 428 = 246345711870768
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
974 : 1, 2, 487, 974
717 : 1, 3, 239, 717
943 : 1, 23, 41, 943
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 874,974,717,943,428, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
974:2x 487
717:3x 239
943:23x 41
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.
2x 2x 23 = 92
Therefore, the value for common factors is 92.
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 = 246345711870768/(1x92)
LCM = 246345711870768/92
LCM = 2677670781204
Thus, we can understand that the LCM of 874,974,717,943,428 is 2677670781204.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 974, 717, 943, 428?
Answer: LCM of 874, 974, 717, 943, 428 is 2677670781204.
2. How to calculate the LCM of 874, 974, 717, 943, 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 874, 974, 717, 943, 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}.