Find the LCM of 836, 890, 924, 752 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 836, 890, 924, 752. So, keep reading to learn more.
Given numbers are 836,890,924,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,890,924,752 is 1468734960.
Find LCM of 836,890,924,752 with Prime Factorization
2 | 836, 890, 924, 752 |
2 | 418, 445, 462, 376 |
11 | 209, 445, 231, 188 |
19, 445, 21, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 19 x 445 x 21 x 188 = 1468734960
Therefore, the lowest common multiple of 836,890,924,752 is 1468734960.
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.
836 x 890 x 924 x 752 = 516994705920
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.
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
890 : 1, 2, 5, 10, 89, 178, 445, 890
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,890,924,752, is 2.
Now, the common factors can be found like this.
836:2x 2x 11x 19
890:2x 5x 89
924:2x 2x 3x 7x 11
752:2x 2x 2x 2x 47
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 516994705920/(2x176)
LCM = 516994705920/352
LCM = 1468734960
Thus, we can understand that the LCM of 836,890,924,752 is 1468734960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 890, 924, 752?
Answer: LCM of 836, 890, 924, 752 is 1468734960.
2. How to calculate the LCM of 836, 890, 924, 752?
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 836, 890, 924, 752.
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}.