Given numbers are 956,71,140

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 956,71,140 is 2375660.

Find LCM of 956,71,140 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 239 x 71 x 35 = 2375660

Therefore, the lowest common multiple of 956,71,140 is 2375660.

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 71 x 140 = 9502640

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

71 : 1, 71

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 956,71,140, is 1.

Now, the common factors can be found like this.

956:2x 2x 239

71:71

140:2x 2x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9502640/(1x4)

LCM = 9502640/4

LCM = 2375660

Thus, we can understand that the LCM of 956,71,140 is 2375660.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 612, 37, 617
• LCM of 735, 88, 881
• LCM of 352, 60, 685
• LCM of 359, 49, 787
• LCM of 765, 41, 194

1. What is the LCM of 956, 71, 140?

Answer: LCM of 956, 71, 140 is 2375660.

2. How to calculate the LCM of 956, 71, 140?

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, 71, 140.

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}.