Find the LCM of 295, 456, 157, 900, 429 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 295, 456, 157, 900, 429. So, keep reading to learn more.
Given numbers are 295,456,157,900,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,456,157,900,429 is 45301627800.
Find LCM of 295,456,157,900,429 with Prime Factorization
2 | 295, 456, 157, 900, 429 |
2 | 295, 228, 157, 450, 429 |
3 | 295, 114, 157, 225, 429 |
5 | 295, 38, 157, 75, 143 |
59, 38, 157, 15, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 38 x 157 x 15 x 143 = 45301627800
Therefore, the lowest common multiple of 295,456,157,900,429 is 45301627800.
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.
295 x 456 x 157 x 900 x 429 = 8154293004000
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.
295 : 1, 5, 59, 295
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
157 : 1, 157
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,456,157,900,429, is 1.
Now, the common factors can be found like this.
295:5x 59
456:2x 2x 2x 3x 19
157:157
900:2x 2x 3x 3x 5x 5
429:3x 11x 13
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 8154293004000/(1x180)
LCM = 8154293004000/180
LCM = 45301627800
Thus, we can understand that the LCM of 295,456,157,900,429 is 45301627800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 456, 157, 900, 429?
Answer: LCM of 295, 456, 157, 900, 429 is 45301627800.
2. How to calculate the LCM of 295, 456, 157, 900, 429?
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 295, 456, 157, 900, 429.
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}.