Given numbers are 349,716,404,406,120

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

The LCM of 349,716,404,406,120 is 153701149560.

Find LCM of 349,716,404,406,120 with Prime Factorization

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

2 x 2 x 349 x 179 x 101 x 203 x 30 = 153701149560

Therefore, the lowest common multiple of 349,716,404,406,120 is 153701149560.

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 716 x 404 x 406 x 120 = 4918436785920

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

716 : 1, 2, 4, 179, 358, 716

404 : 1, 2, 4, 101, 202, 404

406 : 1, 2, 7, 14, 29, 58, 203, 406

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,716,404,406,120, is 1.

Now, the common factors can be found like this.

349:349

716:2x 2x 179

404:2x 2x 101

406:2x 7x 29

120:2x 2x 2x 3x 5

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 4918436785920/(1x32)

LCM = 4918436785920/32

LCM = 153701149560

Thus, we can understand that the LCM of 349,716,404,406,120 is 153701149560.

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

• LCM of 397, 904, 958, 998, 181
• LCM of 356, 801, 827, 247, 105
• LCM of 563, 842, 516, 533, 953
• LCM of 825, 822, 169, 228, 820
• LCM of 152, 910, 763, 824, 598

1. What is the LCM of 349, 716, 404, 406, 120?

Answer: LCM of 349, 716, 404, 406, 120 is 153701149560.

2. How to calculate the LCM of 349, 716, 404, 406, 120?

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, 716, 404, 406, 120.

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}.