Find the LCM of 210, 456, 772, 867, 748 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 210, 456, 772, 867, 748. So, keep reading to learn more.
Given numbers are 210,456,772,867,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,456,772,867,748 is 9792210120.
Find LCM of 210,456,772,867,748 with Prime Factorization
2 | 210, 456, 772, 867, 748 |
2 | 105, 228, 386, 867, 374 |
3 | 105, 114, 193, 867, 187 |
17 | 35, 38, 193, 289, 187 |
35, 38, 193, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 35 x 38 x 193 x 17 x 11 = 9792210120
Therefore, the lowest common multiple of 210,456,772,867,748 is 9792210120.
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.
210 x 456 x 772 x 867 x 748 = 47942660747520
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
772 : 1, 2, 4, 193, 386, 772
867 : 1, 3, 17, 51, 289, 867
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,456,772,867,748, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
456:2x 2x 2x 3x 19
772:2x 2x 193
867:3x 17x 17
748:2x 2x 11x 17
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 3x 3x 17 = 4896
Therefore, the value for common factors is 4896.
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 = 47942660747520/(1x4896)
LCM = 47942660747520/4896
LCM = 9792210120
Thus, we can understand that the LCM of 210,456,772,867,748 is 9792210120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 456, 772, 867, 748?
Answer: LCM of 210, 456, 772, 867, 748 is 9792210120.
2. How to calculate the LCM of 210, 456, 772, 867, 748?
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 210, 456, 772, 867, 748.
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}.