Given numbers are 138,173,202,364

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

The LCM of 138,173,202,364 is 438851868.

Find LCM of 138,173,202,364 with Prime Factorization

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

2 x 69 x 173 x 101 x 182 = 438851868

Therefore, the lowest common multiple of 138,173,202,364 is 438851868.

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.

138 x 173 x 202 x 364 = 1755407472

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.

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

173 : 1, 173

202 : 1, 2, 101, 202

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 138,173,202,364, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

173:173

202:2x 101

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 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 = 1755407472/(1x4)

LCM = 1755407472/4

LCM = 438851868

Thus, we can understand that the LCM of 138,173,202,364 is 438851868.

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

• LCM of 767, 391, 412, 518
• LCM of 257, 546, 629, 637
• LCM of 700, 427, 956, 894
• LCM of 527, 634, 878, 643
• LCM of 951, 359, 684, 694

1. What is the LCM of 138, 173, 202, 364?

Answer: LCM of 138, 173, 202, 364 is 438851868.

2. How to calculate the LCM of 138, 173, 202, 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 138, 173, 202, 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}.