Find the LCM of 760, 224, 764, 250, 616 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 760, 224, 764, 250, 616. So, keep reading to learn more.
Given numbers are 760,224,764,250,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 760,224,764,250,616 is 1117732000.
Find LCM of 760,224,764,250,616 with Prime Factorization
2 | 760, 224, 764, 250, 616 |
2 | 380, 112, 382, 125, 308 |
2 | 190, 56, 191, 125, 154 |
5 | 95, 28, 191, 125, 77 |
7 | 19, 28, 191, 25, 77 |
19, 4, 191, 25, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 19 x 4 x 191 x 25 x 11 = 1117732000
Therefore, the lowest common multiple of 760,224,764,250,616 is 1117732000.
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.
760 x 224 x 764 x 250 x 616 = 20029757440000
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.
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
764 : 1, 2, 4, 191, 382, 764
250 : 1, 2, 5, 10, 25, 50, 125, 250
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,224,764,250,616, is 2.
Now, the common factors can be found like this.
760:2x 2x 2x 5x 19
224:2x 2x 2x 2x 2x 7
764:2x 2x 191
250:2x 5x 5x 5
616:2x 2x 2x 7x 11
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 2x 2x 2x 2x 5x 7 = 8960
Therefore, the value for common factors is 8960.
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 = 20029757440000/(2x8960)
LCM = 20029757440000/17920
LCM = 1117732000
Thus, we can understand that the LCM of 760,224,764,250,616 is 1117732000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 760, 224, 764, 250, 616?
Answer: LCM of 760, 224, 764, 250, 616 is 1117732000.
2. How to calculate the LCM of 760, 224, 764, 250, 616?
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 760, 224, 764, 250, 616.
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}.