Find the LCM of 746, 451, 994, 846, 600 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 746, 451, 994, 846, 600. So, keep reading to learn more.
Given numbers are 746,451,994,846,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,451,994,846,600 is 7073137902600.
Find LCM of 746,451,994,846,600 with Prime Factorization
2 | 746, 451, 994, 846, 600 |
3 | 373, 451, 497, 423, 300 |
373, 451, 497, 141, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 373 x 451 x 497 x 141 x 100 = 7073137902600
Therefore, the lowest common multiple of 746,451,994,846,600 is 7073137902600.
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.
746 x 451 x 994 x 846 x 600 = 169755309662400
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.
746 : 1, 2, 373, 746
451 : 1, 11, 41, 451
994 : 1, 2, 7, 14, 71, 142, 497, 994
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,451,994,846,600, is 1.
Now, the common factors can be found like this.
746:2x 373
451:11x 41
994:2x 7x 71
846:2x 3x 3x 47
600:2x 2x 2x 3x 5x 5
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 3 = 24
Therefore, the value for common factors is 24.
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 = 169755309662400/(1x24)
LCM = 169755309662400/24
LCM = 7073137902600
Thus, we can understand that the LCM of 746,451,994,846,600 is 7073137902600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 746, 451, 994, 846, 600?
Answer: LCM of 746, 451, 994, 846, 600 is 7073137902600.
2. How to calculate the LCM of 746, 451, 994, 846, 600?
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 746, 451, 994, 846, 600.
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}.