Given numbers are 349,420,138,984,949

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

The LCM of 349,420,138,984,949 is 262350936120.

Find LCM of 349,420,138,984,949 with Prime Factorization

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

2 x 2 x 3 x 349 x 35 x 23 x 82 x 949 = 262350936120

Therefore, the lowest common multiple of 349,420,138,984,949 is 262350936120.

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 420 x 138 x 984 x 949 = 18889267400640

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

138 : 1, 2, 3, 6, 23, 46, 69, 138

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,420,138,984,949, is 1.

Now, the common factors can be found like this.

349:349

420:2x 2x 3x 5x 7

138:2x 3x 23

984:2x 2x 2x 3x 41

949:13x 73

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 18889267400640/(1x72)

LCM = 18889267400640/72

LCM = 262350936120

Thus, we can understand that the LCM of 349,420,138,984,949 is 262350936120.

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

• LCM of 707, 378, 977, 844, 356
• LCM of 342, 453, 833, 657, 890
• LCM of 831, 764, 374, 812, 362
• LCM of 177, 144, 437, 949, 221
• LCM of 265, 840, 827, 769, 277

1. What is the LCM of 349, 420, 138, 984, 949?

Answer: LCM of 349, 420, 138, 984, 949 is 262350936120.

2. How to calculate the LCM of 349, 420, 138, 984, 949?

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, 420, 138, 984, 949.

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}.