Given numbers are 426,104,149,138

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

The LCM of 426,104,149,138 is 75914904.

Find LCM of 426,104,149,138 with Prime Factorization

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

2 x 3 x 71 x 52 x 149 x 23 = 75914904

Therefore, the lowest common multiple of 426,104,149,138 is 75914904.

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.

426 x 104 x 149 x 138 = 910978848

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

104 : 1, 2, 4, 8, 13, 26, 52, 104

149 : 1, 149

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,104,149,138, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

104:2x 2x 2x 13

149:149

138:2x 3x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 910978848/(1x12)

LCM = 910978848/12

LCM = 75914904

Thus, we can understand that the LCM of 426,104,149,138 is 75914904.

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

• LCM of 267, 717, 270, 980
• LCM of 756, 533, 970, 549
• LCM of 741, 446, 389, 857
• LCM of 847, 972, 460, 540
• LCM of 726, 238, 917, 797

1. What is the LCM of 426, 104, 149, 138?

Answer: LCM of 426, 104, 149, 138 is 75914904.

2. How to calculate the LCM of 426, 104, 149, 138?

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 426, 104, 149, 138.

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}.