LCM of 781, 300, 150, 421
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 300, 150, 421 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 781, 300, 150, 421. So, keep reading to learn more.
Given numbers are 781,300,150,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,300,150,421 is 98640300.
Find LCM of 781,300,150,421 with Prime Factorization
| 2 | 781, 300, 150, 421 |
| 3 | 781, 150, 75, 421 |
| 5 | 781, 50, 25, 421 |
| 5 | 781, 10, 5, 421 |
| 781, 2, 1, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 781 x 2 x 1 x 421 = 98640300
Therefore, the lowest common multiple of 781,300,150,421 is 98640300.
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.
781 x 300 x 150 x 421 = 14796045000
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.
781 : 1, 11, 71, 781
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,300,150,421, is 1.
Now, the common factors can be found like this.
781:11x 71
300:2x 2x 3x 5x 5
150:2x 3x 5x 5
421:421
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 14796045000/(1x150)
LCM = 14796045000/150
LCM = 98640300
Thus, we can understand that the LCM of 781,300,150,421 is 98640300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 781, 300, 150, 421
1. What is the LCM of 781, 300, 150, 421?
Answer: LCM of 781, 300, 150, 421 is 98640300.
2. How to calculate the LCM of 781, 300, 150, 421?
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 781, 300, 150, 421.
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}.