Given numbers are 2956,3695

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

The LCM of 2956,3695 is 14780.

Find LCM of 2956,3695 with Prime Factorization

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

739 x 4 x 5 = 14780

Therefore, the lowest common multiple of 2956,3695 is 14780.

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.

2956 x 3695 = 10922420

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.

2956 : 1, 2, 4, 739, 1478, 2956

3695 : 1, 5, 739, 3695

739 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2956,3695, is 739.

Now, the common factors can be found like this.

2956:2x 2x 739

3695:5x 739

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

= 1

Therefore, the value for common factors is 1.

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 = 10922420/(739x1)

LCM = 10922420/739

LCM = 14780

Thus, we can understand that the LCM of 2956,3695 is 14780.

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

• LCM of 7362, 3675
• LCM of 7928, 7515
• LCM of 9692, 3194
• LCM of 2549, 3226
• LCM of 8600, 8083

1. What is the LCM of 2956, 3695?

Answer: LCM of 2956, 3695 is 14780.

2. How to calculate the LCM of 2956, 3695?

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 2956, 3695.

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}.