Given numbers are 273,312,269,471

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

The LCM of 273,312,269,471 is 92236872.

Find LCM of 273,312,269,471 with Prime Factorization

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

3 x 13 x 7 x 8 x 269 x 157 = 92236872

Therefore, the lowest common multiple of 273,312,269,471 is 92236872.

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.

273 x 312 x 269 x 471 = 10791714024

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

269 : 1, 269

471 : 1, 3, 157, 471

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,312,269,471, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

312:2x 2x 2x 3x 13

269:269

471:3x 157

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 10791714024/(1x117)

LCM = 10791714024/117

LCM = 92236872

Thus, we can understand that the LCM of 273,312,269,471 is 92236872.

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

• LCM of 479, 451, 944, 186
• LCM of 225, 727, 496, 596
• LCM of 740, 122, 335, 582
• LCM of 551, 184, 867, 347
• LCM of 746, 200, 159, 104

1. What is the LCM of 273, 312, 269, 471?

Answer: LCM of 273, 312, 269, 471 is 92236872.

2. How to calculate the LCM of 273, 312, 269, 471?

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 273, 312, 269, 471.

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}.