Find the LCM of 858, 749, 533, 919 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 858, 749, 533, 919. So, keep reading to learn more.
Given numbers are 858,749,533,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,749,533,919 is 24214107918.
Find LCM of 858,749,533,919 with Prime Factorization
13 | 858, 749, 533, 919 |
66, 749, 41, 919 |
Multiply the prime numbers at the bottom and the left side.
13 x 66 x 749 x 41 x 919 = 24214107918
Therefore, the lowest common multiple of 858,749,533,919 is 24214107918.
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.
858 x 749 x 533 x 919 = 314783402934
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
749 : 1, 7, 107, 749
533 : 1, 13, 41, 533
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,749,533,919, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
749:7x 107
533:13x 41
919:919
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 314783402934/(1x13)
LCM = 314783402934/13
LCM = 24214107918
Thus, we can understand that the LCM of 858,749,533,919 is 24214107918.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 749, 533, 919?
Answer: LCM of 858, 749, 533, 919 is 24214107918.
2. How to calculate the LCM of 858, 749, 533, 919?
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 858, 749, 533, 919.
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}.