Find the LCM of 862, 774, 490, 516 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 862, 774, 490, 516. So, keep reading to learn more.
Given numbers are 862,774,490,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,774,490,516 is 163461060.
Find LCM of 862,774,490,516 with Prime Factorization
2 | 862, 774, 490, 516 |
3 | 431, 387, 245, 258 |
43 | 431, 129, 245, 86 |
431, 3, 245, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 431 x 3 x 245 x 2 = 163461060
Therefore, the lowest common multiple of 862,774,490,516 is 163461060.
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.
862 x 774 x 490 x 516 = 168691813920
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.
862 : 1, 2, 431, 862
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,774,490,516, is 2.
Now, the common factors can be found like this.
862:2x 431
774:2x 3x 3x 43
490:2x 5x 7x 7
516:2x 2x 3x 43
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 3x 43 = 516
Therefore, the value for common factors is 516.
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 = 168691813920/(2x516)
LCM = 168691813920/1032
LCM = 163461060
Thus, we can understand that the LCM of 862,774,490,516 is 163461060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 862, 774, 490, 516?
Answer: LCM of 862, 774, 490, 516 is 163461060.
2. How to calculate the LCM of 862, 774, 490, 516?
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 862, 774, 490, 516.
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}.