Given numbers are 349,480,202,427,740

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

The LCM of 349,480,202,427,740 is 267311496480.

Find LCM of 349,480,202,427,740 with Prime Factorization

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

2 x 2 x 5 x 349 x 24 x 101 x 427 x 37 = 267311496480

Therefore, the lowest common multiple of 349,480,202,427,740 is 267311496480.

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 480 x 202 x 427 x 740 = 10692459859200

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

202 : 1, 2, 101, 202

427 : 1, 7, 61, 427

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,480,202,427,740, is 1.

Now, the common factors can be found like this.

349:349

480:2x 2x 2x 2x 2x 3x 5

202:2x 101

427:7x 61

740:2x 2x 5x 37

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 5 = 40

Therefore, the value for common factors is 40.

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 = 10692459859200/(1x40)

LCM = 10692459859200/40

LCM = 267311496480

Thus, we can understand that the LCM of 349,480,202,427,740 is 267311496480.

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

• LCM of 498, 763, 401, 301, 425
• LCM of 487, 375, 878, 981, 282
• LCM of 128, 146, 285, 257, 931
• LCM of 366, 445, 672, 981, 940
• LCM of 209, 640, 215, 238, 955

1. What is the LCM of 349, 480, 202, 427, 740?

Answer: LCM of 349, 480, 202, 427, 740 is 267311496480.

2. How to calculate the LCM of 349, 480, 202, 427, 740?

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, 480, 202, 427, 740.

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}.