Given numbers are 349,492,946,274,114

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

The LCM of 349,492,946,274,114 is 211410152052.

Find LCM of 349,492,946,274,114 with Prime Factorization

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

2 x 3 x 349 x 82 x 473 x 137 x 19 = 211410152052

Therefore, the lowest common multiple of 349,492,946,274,114 is 211410152052.

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.

349 x 492 x 946 x 274 x 114 = 5073843649248

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.

349 : 1, 349

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

946 : 1, 2, 11, 22, 43, 86, 473, 946

274 : 1, 2, 137, 274

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,492,946,274,114, is 1.

Now, the common factors can be found like this.

349:349

492:2x 2x 3x 41

946:2x 11x 43

274:2x 137

114:2x 3x 19

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 5073843649248/(1x24)

LCM = 5073843649248/24

LCM = 211410152052

Thus, we can understand that the LCM of 349,492,946,274,114 is 211410152052.

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

• LCM of 388, 536, 305, 165, 875
• LCM of 772, 841, 382, 830, 498
• LCM of 271, 400, 499, 236, 772
• LCM of 397, 541, 841, 332, 959
• LCM of 895, 536, 122, 333, 488

1. What is the LCM of 349, 492, 946, 274, 114?

Answer: LCM of 349, 492, 946, 274, 114 is 211410152052.

2. How to calculate the LCM of 349, 492, 946, 274, 114?

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 349, 492, 946, 274, 114.

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}.