Given numbers are 269,289,153,374

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

The LCM of 269,289,153,374 is 15392718.

Find LCM of 269,289,153,374 with Prime Factorization

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

17 x 269 x 17 x 9 x 22 = 15392718

Therefore, the lowest common multiple of 269,289,153,374 is 15392718.

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.

269 x 289 x 153 x 374 = 4448495502

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.

269 : 1, 269

289 : 1, 17, 289

153 : 1, 3, 9, 17, 51, 153

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 269,289,153,374, is 1.

Now, the common factors can be found like this.

269:269

289:17x 17

153:3x 3x 17

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.

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 4448495502/(1x289)

LCM = 4448495502/289

LCM = 15392718

Thus, we can understand that the LCM of 269,289,153,374 is 15392718.

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

• LCM of 770, 767, 563, 463
• LCM of 437, 427, 738, 573
• LCM of 780, 395, 244, 705
• LCM of 371, 499, 254, 366
• LCM of 843, 927, 230, 532

1. What is the LCM of 269, 289, 153, 374?

Answer: LCM of 269, 289, 153, 374 is 15392718.

2. How to calculate the LCM of 269, 289, 153, 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 269, 289, 153, 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}.