Given numbers are 349,128,561,306,146

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

The LCM of 349,128,561,306,146 is 5488357248.

Find LCM of 349,128,561,306,146 with Prime Factorization

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

2 x 3 x 17 x 349 x 64 x 11 x 3 x 73 = 5488357248

Therefore, the lowest common multiple of 349,128,561,306,146 is 5488357248.

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 128 x 561 x 306 x 146 = 1119624878592

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

561 : 1, 3, 11, 17, 33, 51, 187, 561

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,128,561,306,146, is 1.

Now, the common factors can be found like this.

349:349

128:2x 2x 2x 2x 2x 2x 2

561:3x 11x 17

306:2x 3x 3x 17

146:2x 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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 1119624878592/(1x204)

LCM = 1119624878592/204

LCM = 5488357248

Thus, we can understand that the LCM of 349,128,561,306,146 is 5488357248.

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

• LCM of 404, 511, 327, 533, 988
• LCM of 124, 134, 220, 536, 922
• LCM of 820, 596, 837, 712, 659
• LCM of 666, 184, 716, 780, 744
• LCM of 149, 324, 210, 650, 130

1. What is the LCM of 349, 128, 561, 306, 146?

Answer: LCM of 349, 128, 561, 306, 146 is 5488357248.

2. How to calculate the LCM of 349, 128, 561, 306, 146?

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, 128, 561, 306, 146.

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}.