Given numbers are 742,138,213,121

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

The LCM of 742,138,213,121 is 439842018.

Find LCM of 742,138,213,121 with Prime Factorization

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

2 x 3 x 371 x 23 x 71 x 121 = 439842018

Therefore, the lowest common multiple of 742,138,213,121 is 439842018.

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.

742 x 138 x 213 x 121 = 2639052108

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

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

213 : 1, 3, 71, 213

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,138,213,121, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

138:2x 3x 23

213:3x 71

121:11x 11

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2639052108/(1x6)

LCM = 2639052108/6

LCM = 439842018

Thus, we can understand that the LCM of 742,138,213,121 is 439842018.

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

• LCM of 269, 320, 854, 516
• LCM of 817, 577, 783, 802
• LCM of 501, 422, 589, 951
• LCM of 406, 635, 703, 881
• LCM of 781, 840, 790, 250

1. What is the LCM of 742, 138, 213, 121?

Answer: LCM of 742, 138, 213, 121 is 439842018.

2. How to calculate the LCM of 742, 138, 213, 121?

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 742, 138, 213, 121.

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}.