LCM of 278, 750, 626, 271, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 750, 626, 271, 813 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 278, 750, 626, 271, 813. So, keep reading to learn more.
Given numbers are 278,750,626,271,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,750,626,271,813 is 8842797750.
Find LCM of 278,750,626,271,813 with Prime Factorization
| 2 | 278, 750, 626, 271, 813 |
| 3 | 139, 375, 313, 271, 813 |
| 271 | 139, 125, 313, 271, 271 |
| 139, 125, 313, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 271 x 139 x 125 x 313 x 1 x 1 = 8842797750
Therefore, the lowest common multiple of 278,750,626,271,813 is 8842797750.
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.
278 x 750 x 626 x 271 x 813 = 28756778283000
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.
278 : 1, 2, 139, 278
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
626 : 1, 2, 313, 626
271 : 1, 271
813 : 1, 3, 271, 813
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,750,626,271,813, is 1.
Now, the common factors can be found like this.
278:2x 139
750:2x 3x 5x 5x 5
626:2x 313
271:271
813:3x 271
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 271 = 3252
Therefore, the value for common factors is 3252.
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 = 28756778283000/(1x3252)
LCM = 28756778283000/3252
LCM = 8842797750
Thus, we can understand that the LCM of 278,750,626,271,813 is 8842797750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 278, 750, 626, 271, 813
1. What is the LCM of 278, 750, 626, 271, 813?
Answer: LCM of 278, 750, 626, 271, 813 is 8842797750.
2. How to calculate the LCM of 278, 750, 626, 271, 813?
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 278, 750, 626, 271, 813.
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}.