Find the LCM of 846, 634, 634, 700, 514 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 846, 634, 634, 700, 514. So, keep reading to learn more.
Given numbers are 846,634,634,700,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,634,634,700,514 is 24122970900.
Find LCM of 846,634,634,700,514 with Prime Factorization
2 | 846, 634, 634, 700, 514 |
317 | 423, 317, 317, 350, 257 |
423, 1, 1, 350, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 317 x 423 x 1 x 1 x 350 x 257 = 24122970900
Therefore, the lowest common multiple of 846,634,634,700,514 is 24122970900.
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.
846 x 634 x 634 x 700 x 514 = 122351708404800
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
634 : 1, 2, 317, 634
634 : 1, 2, 317, 634
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
514 : 1, 2, 257, 514
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,634,634,700,514, is 2.
Now, the common factors can be found like this.
846:2x 3x 3x 47
634:2x 317
634:2x 317
700:2x 2x 5x 5x 7
514:2x 257
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 2x 317 = 2536
Therefore, the value for common factors is 2536.
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 = 122351708404800/(2x2536)
LCM = 122351708404800/5072
LCM = 24122970900
Thus, we can understand that the LCM of 846,634,634,700,514 is 24122970900.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 846, 634, 634, 700, 514?
Answer: LCM of 846, 634, 634, 700, 514 is 24122970900.
2. How to calculate the LCM of 846, 634, 634, 700, 514?
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 846, 634, 634, 700, 514.
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}.