Given numbers are 975,312,311,546

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

The LCM of 975,312,311,546 is 16980600.

Find LCM of 975,312,311,546 with Prime Factorization

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

2 x 3 x 13 x 25 x 4 x 311 x 7 = 16980600

Therefore, the lowest common multiple of 975,312,311,546 is 16980600.

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.

975 x 312 x 311 x 546 = 51654985200

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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

311 : 1, 311

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,312,311,546, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

312:2x 2x 2x 3x 13

311:311

546:2x 3x 7x 13

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

2x 3x 3x 13x 13 = 3042

Therefore, the value for common factors is 3042.

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 = 51654985200/(1x3042)

LCM = 51654985200/3042

LCM = 16980600

Thus, we can understand that the LCM of 975,312,311,546 is 16980600.

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

• LCM of 367, 828, 161, 353
• LCM of 490, 856, 275, 526
• LCM of 978, 910, 382, 853
• LCM of 858, 404, 369, 387
• LCM of 300, 135, 969, 849

1. What is the LCM of 975, 312, 311, 546?

Answer: LCM of 975, 312, 311, 546 is 16980600.

2. How to calculate the LCM of 975, 312, 311, 546?

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 975, 312, 311, 546.

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}.