Find the LCM of 826, 723, 262, 478, 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 826, 723, 262, 478, 421. So, keep reading to learn more.
Given numbers are 826,723,262,478,421
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,723,262,478,421 is 7871719988622.
Find LCM of 826,723,262,478,421 with Prime Factorization
2 | 826, 723, 262, 478, 421 |
413, 723, 131, 239, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 413 x 723 x 131 x 239 x 421 = 7871719988622
Therefore, the lowest common multiple of 826,723,262,478,421 is 7871719988622.
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.
826 x 723 x 262 x 478 x 421 = 31486879954488
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
723 : 1, 3, 241, 723
262 : 1, 2, 131, 262
478 : 1, 2, 239, 478
421 : 1, 421
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,723,262,478,421, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
723:3x 241
262:2x 131
478:2x 239
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 2 = 4
Therefore, the value for common factors is 4.
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 = 31486879954488/(1x4)
LCM = 31486879954488/4
LCM = 7871719988622
Thus, we can understand that the LCM of 826,723,262,478,421 is 7871719988622.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 826, 723, 262, 478, 421?
Answer: LCM of 826, 723, 262, 478, 421 is 7871719988622.
2. How to calculate the LCM of 826, 723, 262, 478, 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 826, 723, 262, 478, 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}.