Find the LCM of 836, 294, 753, 853, 947 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, 294, 753, 853, 947. So, keep reading to learn more.
Given numbers are 836,294,753,853,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 836,294,753,853,947 is 24917033944572.
Find LCM of 836,294,753,853,947 with Prime Factorization
2 | 836, 294, 753, 853, 947 |
3 | 418, 147, 753, 853, 947 |
418, 49, 251, 853, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 418 x 49 x 251 x 853 x 947 = 24917033944572
Therefore, the lowest common multiple of 836,294,753,853,947 is 24917033944572.
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 294 x 753 x 853 x 947 = 149502203667432
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
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
753 : 1, 3, 251, 753
853 : 1, 853
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,294,753,853,947, is 1.
Now, the common factors can be found like this.
836:2x 2x 11x 19
294:2x 3x 7x 7
753:3x 251
853:853
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 149502203667432/(1x6)
LCM = 149502203667432/6
LCM = 24917033944572
Thus, we can understand that the LCM of 836,294,753,853,947 is 24917033944572.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 836, 294, 753, 853, 947?
Answer: LCM of 836, 294, 753, 853, 947 is 24917033944572.
2. How to calculate the LCM of 836, 294, 753, 853, 947?
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, 294, 753, 853, 947.
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}.