Find the LCM of 956, 964, 274, 429, 708 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 956, 964, 274, 429, 708. So, keep reading to learn more.
Given numbers are 956,964,274,429,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 956,964,274,429,708 is 798922782372.
Find LCM of 956,964,274,429,708 with Prime Factorization
2 | 956, 964, 274, 429, 708 |
2 | 478, 482, 137, 429, 354 |
3 | 239, 241, 137, 429, 177 |
239, 241, 137, 143, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 239 x 241 x 137 x 143 x 59 = 798922782372
Therefore, the lowest common multiple of 956,964,274,429,708 is 798922782372.
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.
956 x 964 x 274 x 429 x 708 = 76696587107712
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.
956 : 1, 2, 4, 239, 478, 956
964 : 1, 2, 4, 241, 482, 964
274 : 1, 2, 137, 274
429 : 1, 3, 11, 13, 33, 39, 143, 429
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,964,274,429,708, is 1.
Now, the common factors can be found like this.
956:2x 2x 239
964:2x 2x 241
274:2x 137
429:3x 11x 13
708:2x 2x 3x 59
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 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 76696587107712/(1x96)
LCM = 76696587107712/96
LCM = 798922782372
Thus, we can understand that the LCM of 956,964,274,429,708 is 798922782372.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 956, 964, 274, 429, 708?
Answer: LCM of 956, 964, 274, 429, 708 is 798922782372.
2. How to calculate the LCM of 956, 964, 274, 429, 708?
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 956, 964, 274, 429, 708.
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}.