Find the LCM of 376, 906, 719, 273, 836 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 376, 906, 719, 273, 836. So, keep reading to learn more.
Given numbers are 376,906,719,273,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,906,719,273,836 is 2329177658808.
Find LCM of 376,906,719,273,836 with Prime Factorization
2 | 376, 906, 719, 273, 836 |
2 | 188, 453, 719, 273, 418 |
3 | 94, 453, 719, 273, 209 |
94, 151, 719, 91, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 94 x 151 x 719 x 91 x 209 = 2329177658808
Therefore, the lowest common multiple of 376,906,719,273,836 is 2329177658808.
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.
376 x 906 x 719 x 273 x 836 = 55900263811392
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
906 : 1, 2, 3, 6, 151, 302, 453, 906
719 : 1, 719
273 : 1, 3, 7, 13, 21, 39, 91, 273
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,906,719,273,836, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
906:2x 3x 151
719:719
273:3x 7x 13
836:2x 2x 11x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 55900263811392/(1x24)
LCM = 55900263811392/24
LCM = 2329177658808
Thus, we can understand that the LCM of 376,906,719,273,836 is 2329177658808.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 906, 719, 273, 836?
Answer: LCM of 376, 906, 719, 273, 836 is 2329177658808.
2. How to calculate the LCM of 376, 906, 719, 273, 836?
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 376, 906, 719, 273, 836.
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}.