Find the LCM of 641, 745, 791, 894 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 641, 745, 791, 894. So, keep reading to learn more.
Given numbers are 641,745,791,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,745,791,894 is 2266428570.
Find LCM of 641,745,791,894 with Prime Factorization
149 | 641, 745, 791, 894 |
641, 5, 791, 6 |
Multiply the prime numbers at the bottom and the left side.
149 x 641 x 5 x 791 x 6 = 2266428570
Therefore, the lowest common multiple of 641,745,791,894 is 2266428570.
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.
641 x 745 x 791 x 894 = 337697856930
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.
641 : 1, 641
745 : 1, 5, 149, 745
791 : 1, 7, 113, 791
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,745,791,894, is 1.
Now, the common factors can be found like this.
641:641
745:5x 149
791:7x 113
894:2x 3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
149 = 149
Therefore, the value for common factors is 149.
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 = 337697856930/(1x149)
LCM = 337697856930/149
LCM = 2266428570
Thus, we can understand that the LCM of 641,745,791,894 is 2266428570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 641, 745, 791, 894?
Answer: LCM of 641, 745, 791, 894 is 2266428570.
2. How to calculate the LCM of 641, 745, 791, 894?
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 641, 745, 791, 894.
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}.