Find the LCM of 751, 545, 418, 533, 958 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 751, 545, 418, 533, 958. So, keep reading to learn more.
Given numbers are 751,545,418,533,958
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 751,545,418,533,958 is 43679277240170.
Find LCM of 751,545,418,533,958 with Prime Factorization
2 | 751, 545, 418, 533, 958 |
751, 545, 209, 533, 479 |
Multiply the prime numbers at the bottom and the left side.
2 x 751 x 545 x 209 x 533 x 479 = 43679277240170
Therefore, the lowest common multiple of 751,545,418,533,958 is 43679277240170.
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.
751 x 545 x 418 x 533 x 958 = 87358554480340
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.
751 : 1, 751
545 : 1, 5, 109, 545
418 : 1, 2, 11, 19, 22, 38, 209, 418
533 : 1, 13, 41, 533
958 : 1, 2, 479, 958
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,545,418,533,958, is 1.
Now, the common factors can be found like this.
751:751
545:5x 109
418:2x 11x 19
533:13x 41
958:2x 479
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 87358554480340/(1x2)
LCM = 87358554480340/2
LCM = 43679277240170
Thus, we can understand that the LCM of 751,545,418,533,958 is 43679277240170.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 751, 545, 418, 533, 958?
Answer: LCM of 751, 545, 418, 533, 958 is 43679277240170.
2. How to calculate the LCM of 751, 545, 418, 533, 958?
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 751, 545, 418, 533, 958.
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}.