Given numbers are 401,782,138,364

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

The LCM of 401,782,138,364 is 171215772.

Find LCM of 401,782,138,364 with Prime Factorization

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

2 x 23 x 401 x 17 x 3 x 182 = 171215772

Therefore, the lowest common multiple of 401,782,138,364 is 171215772.

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.

401 x 782 x 138 x 364 = 15751851024

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.

401 : 1, 401

782 : 1, 2, 17, 23, 34, 46, 391, 782

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,782,138,364, is 1.

Now, the common factors can be found like this.

401:401

782:2x 17x 23

138:2x 3x 23

364:2x 2x 7x 13

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 23 = 92

Therefore, the value for common factors is 92.

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 = 15751851024/(1x92)

LCM = 15751851024/92

LCM = 171215772

Thus, we can understand that the LCM of 401,782,138,364 is 171215772.

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

• LCM of 154, 515, 720, 100
• LCM of 824, 845, 856, 214
• LCM of 990, 665, 108, 464
• LCM of 339, 856, 896, 247
• LCM of 938, 843, 943, 962

1. What is the LCM of 401, 782, 138, 364?

Answer: LCM of 401, 782, 138, 364 is 171215772.

2. How to calculate the LCM of 401, 782, 138, 364?

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 401, 782, 138, 364.

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}.