Find the LCM of 278, 535, 470, 821, 658 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, 535, 470, 821, 658. So, keep reading to learn more.
Given numbers are 278,535,470,821,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,535,470,821,658 is 40173311570.
Find LCM of 278,535,470,821,658 with Prime Factorization
2 | 278, 535, 470, 821, 658 |
5 | 139, 535, 235, 821, 329 |
47 | 139, 107, 47, 821, 329 |
139, 107, 1, 821, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 139 x 107 x 1 x 821 x 7 = 40173311570
Therefore, the lowest common multiple of 278,535,470,821,658 is 40173311570.
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 535 x 470 x 821 x 658 = 37762912875800
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
535 : 1, 5, 107, 535
470 : 1, 2, 5, 10, 47, 94, 235, 470
821 : 1, 821
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,535,470,821,658, is 1.
Now, the common factors can be found like this.
278:2x 139
535:5x 107
470:2x 5x 47
821:821
658:2x 7x 47
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 5x 47 = 940
Therefore, the value for common factors is 940.
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 = 37762912875800/(1x940)
LCM = 37762912875800/940
LCM = 40173311570
Thus, we can understand that the LCM of 278,535,470,821,658 is 40173311570.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 535, 470, 821, 658?
Answer: LCM of 278, 535, 470, 821, 658 is 40173311570.
2. How to calculate the LCM of 278, 535, 470, 821, 658?
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, 535, 470, 821, 658.
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}.