Given numbers are 149,652,400,353

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

The LCM of 149,652,400,353 is 3429324400.

Find LCM of 149,652,400,353 with Prime Factorization

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

2 x 2 x 149 x 163 x 100 x 353 = 3429324400

Therefore, the lowest common multiple of 149,652,400,353 is 3429324400.

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.

149 x 652 x 400 x 353 = 13717297600

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.

149 : 1, 149

652 : 1, 2, 4, 163, 326, 652

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,652,400,353, is 1.

Now, the common factors can be found like this.

149:149

652:2x 2x 163

400:2x 2x 2x 2x 5x 5

353:353

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13717297600/(1x4)

LCM = 13717297600/4

LCM = 3429324400

Thus, we can understand that the LCM of 149,652,400,353 is 3429324400.

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

• LCM of 508, 112, 831, 896
• LCM of 818, 236, 362, 979
• LCM of 485, 469, 625, 835
• LCM of 311, 974, 967, 974
• LCM of 916, 681, 111, 726

1. What is the LCM of 149, 652, 400, 353?

Answer: LCM of 149, 652, 400, 353 is 3429324400.

2. How to calculate the LCM of 149, 652, 400, 353?

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 149, 652, 400, 353.

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}.