Given numbers are 312,661,826

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

The LCM of 312,661,826 is 85173816.

Find LCM of 312,661,826 with Prime Factorization

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

2 x 156 x 661 x 413 = 85173816

Therefore, the lowest common multiple of 312,661,826 is 85173816.

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.

312 x 661 x 826 = 170347632

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.

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

661 : 1, 661

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,661,826, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

661:661

826:2x 7x 59

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 = 170347632/(1x2)

LCM = 170347632/2

LCM = 85173816

Thus, we can understand that the LCM of 312,661,826 is 85173816.

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

• LCM of 722, 618, 389
• LCM of 726, 618, 990
• LCM of 465, 876, 228
• LCM of 947, 429, 826
• LCM of 581, 628, 880

1. What is the LCM of 312, 661, 826?

Answer: LCM of 312, 661, 826 is 85173816.

2. How to calculate the LCM of 312, 661, 826?

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 312, 661, 826.

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}.