Given numbers are 426,154,242,269

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

The LCM of 426,154,242,269 is 97061118.

Find LCM of 426,154,242,269 with Prime Factorization

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

2 x 11 x 213 x 7 x 11 x 269 = 97061118

Therefore, the lowest common multiple of 426,154,242,269 is 97061118.

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.

426 x 154 x 242 x 269 = 4270689192

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

154 : 1, 2, 7, 11, 14, 22, 77, 154

242 : 1, 2, 11, 22, 121, 242

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,154,242,269, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

154:2x 7x 11

242:2x 11x 11

269:269

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

2x 2x 11 = 44

Therefore, the value for common factors is 44.

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 = 4270689192/(1x44)

LCM = 4270689192/44

LCM = 97061118

Thus, we can understand that the LCM of 426,154,242,269 is 97061118.

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

• LCM of 626, 547, 933, 322
• LCM of 949, 226, 456, 783
• LCM of 517, 240, 902, 523
• LCM of 789, 361, 490, 980
• LCM of 219, 909, 359, 680

1. What is the LCM of 426, 154, 242, 269?

Answer: LCM of 426, 154, 242, 269 is 97061118.

2. How to calculate the LCM of 426, 154, 242, 269?

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 426, 154, 242, 269.

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}.