Find the LCM of 945, 688, 456, 257 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 945, 688, 456, 257. So, keep reading to learn more.
Given numbers are 945,688,456,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,688,456,257 is 3174731280.
Find LCM of 945,688,456,257 with Prime Factorization
2 | 945, 688, 456, 257 |
2 | 945, 344, 228, 257 |
2 | 945, 172, 114, 257 |
3 | 945, 86, 57, 257 |
315, 86, 19, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 315 x 86 x 19 x 257 = 3174731280
Therefore, the lowest common multiple of 945,688,456,257 is 3174731280.
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.
945 x 688 x 456 x 257 = 76193550720
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,688,456,257, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
688:2x 2x 2x 2x 43
456:2x 2x 2x 3x 19
257:257
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 = 76193550720/(1x24)
LCM = 76193550720/24
LCM = 3174731280
Thus, we can understand that the LCM of 945,688,456,257 is 3174731280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 945, 688, 456, 257?
Answer: LCM of 945, 688, 456, 257 is 3174731280.
2. How to calculate the LCM of 945, 688, 456, 257?
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 945, 688, 456, 257.
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}.