Find the LCM of 785, 275, 900, 420, 921 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 785, 275, 900, 420, 921. So, keep reading to learn more.
Given numbers are 785,275,900,420,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,275,900,420,921 is 3340190700.
Find LCM of 785,275,900,420,921 with Prime Factorization
2 | 785, 275, 900, 420, 921 |
2 | 785, 275, 450, 210, 921 |
3 | 785, 275, 225, 105, 921 |
5 | 785, 275, 75, 35, 307 |
5 | 157, 55, 15, 7, 307 |
157, 11, 3, 7, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 157 x 11 x 3 x 7 x 307 = 3340190700
Therefore, the lowest common multiple of 785,275,900,420,921 is 3340190700.
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.
785 x 275 x 900 x 420 x 921 = 75154290750000
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.
785 : 1, 5, 157, 785
275 : 1, 5, 11, 25, 55, 275
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,275,900,420,921, is 1.
Now, the common factors can be found like this.
785:5x 157
275:5x 5x 11
900:2x 2x 3x 3x 5x 5
420:2x 2x 3x 5x 7
921:3x 307
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 5x 5x 5x 5 = 22500
Therefore, the value for common factors is 22500.
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 = 75154290750000/(1x22500)
LCM = 75154290750000/22500
LCM = 3340190700
Thus, we can understand that the LCM of 785,275,900,420,921 is 3340190700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 275, 900, 420, 921?
Answer: LCM of 785, 275, 900, 420, 921 is 3340190700.
2. How to calculate the LCM of 785, 275, 900, 420, 921?
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 785, 275, 900, 420, 921.
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}.