Given numbers are 755,312,742

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

The LCM of 755,312,742 is 87392760.

Find LCM of 755,312,742 with Prime Factorization

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

2 x 755 x 156 x 371 = 87392760

Therefore, the lowest common multiple of 755,312,742 is 87392760.

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.

755 x 312 x 742 = 174785520

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.

755 : 1, 5, 151, 755

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 755,312,742, is 1.

Now, the common factors can be found like this.

755:5x 151

312:2x 2x 2x 3x 13

742:2x 7x 53

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 = 174785520/(1x2)

LCM = 174785520/2

LCM = 87392760

Thus, we can understand that the LCM of 755,312,742 is 87392760.

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

• LCM of 788, 966, 254
• LCM of 716, 155, 976
• LCM of 906, 640, 471
• LCM of 185, 626, 581
• LCM of 265, 547, 402

1. What is the LCM of 755, 312, 742?

Answer: LCM of 755, 312, 742 is 87392760.

2. How to calculate the LCM of 755, 312, 742?

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 755, 312, 742.

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}.