Given numbers are 961,312,374

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

The LCM of 961,312,374 is 56068584.

Find LCM of 961,312,374 with Prime Factorization

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

2 x 961 x 156 x 187 = 56068584

Therefore, the lowest common multiple of 961,312,374 is 56068584.

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.

961 x 312 x 374 = 112137168

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.

961 : 1, 31, 961

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,312,374, is 1.

Now, the common factors can be found like this.

961:31x 31

312:2x 2x 2x 3x 13

374:2x 11x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 112137168/(1x2)

LCM = 112137168/2

LCM = 56068584

Thus, we can understand that the LCM of 961,312,374 is 56068584.

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

• LCM of 381, 109, 332
• LCM of 763, 780, 452
• LCM of 620, 592, 310
• LCM of 933, 580, 700
• LCM of 281, 244, 221

1. What is the LCM of 961, 312, 374?

Answer: LCM of 961, 312, 374 is 56068584.

2. How to calculate the LCM of 961, 312, 374?

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 961, 312, 374.

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}.