LCM of 711, 748, 450, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 748, 450, 359 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 711, 748, 450, 359. So, keep reading to learn more.
Given numbers are 711,748,450,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,748,450,359 is 4773156300.
Find LCM of 711,748,450,359 with Prime Factorization
| 2 | 711, 748, 450, 359 |
| 3 | 711, 374, 225, 359 |
| 3 | 237, 374, 75, 359 |
| 79, 374, 25, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 79 x 374 x 25 x 359 = 4773156300
Therefore, the lowest common multiple of 711,748,450,359 is 4773156300.
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.
711 x 748 x 450 x 359 = 85916813400
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.
711 : 1, 3, 9, 79, 237, 711
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,748,450,359, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
748:2x 2x 11x 17
450:2x 3x 3x 5x 5
359:359
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 3 = 18
Therefore, the value for common factors is 18.
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 = 85916813400/(1x18)
LCM = 85916813400/18
LCM = 4773156300
Thus, we can understand that the LCM of 711,748,450,359 is 4773156300.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 711, 748, 450, 359
1. What is the LCM of 711, 748, 450, 359?
Answer: LCM of 711, 748, 450, 359 is 4773156300.
2. How to calculate the LCM of 711, 748, 450, 359?
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 711, 748, 450, 359.
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}.