Given numbers are 294,269,174,201,622

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

The LCM of 294,269,174,201,622 is 47789534478.

Find LCM of 294,269,174,201,622 with Prime Factorization

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

2 x 3 x 49 x 269 x 29 x 67 x 311 = 47789534478

Therefore, the lowest common multiple of 294,269,174,201,622 is 47789534478.

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.

294 x 269 x 174 x 201 x 622 = 1720423241208

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

269 : 1, 269

174 : 1, 2, 3, 6, 29, 58, 87, 174

201 : 1, 3, 67, 201

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,269,174,201,622, is 1.

Now, the common factors can be found like this.

294:2x 3x 7x 7

269:269

174:2x 3x 29

201:3x 67

622:2x 311

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 1720423241208/(1x36)

LCM = 1720423241208/36

LCM = 47789534478

Thus, we can understand that the LCM of 294,269,174,201,622 is 47789534478.

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

• LCM of 896, 857, 889, 983, 850
• LCM of 996, 538, 761, 149, 974
• LCM of 638, 567, 978, 789, 925
• LCM of 959, 242, 807, 897, 590
• LCM of 372, 133, 447, 800, 873

1. What is the LCM of 294, 269, 174, 201, 622?

Answer: LCM of 294, 269, 174, 201, 622 is 47789534478.

2. How to calculate the LCM of 294, 269, 174, 201, 622?

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 294, 269, 174, 201, 622.

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}.