Given numbers are 542,284,949,138

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

The LCM of 542,284,949,138 is 5039679684.

Find LCM of 542,284,949,138 with Prime Factorization

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

2 x 271 x 142 x 949 x 69 = 5039679684

Therefore, the lowest common multiple of 542,284,949,138 is 5039679684.

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.

542 x 284 x 949 x 138 = 20158718736

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.

542 : 1, 2, 271, 542

284 : 1, 2, 4, 71, 142, 284

949 : 1, 13, 73, 949

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 542,284,949,138, is 1.

Now, the common factors can be found like this.

542:2x 271

284:2x 2x 71

949:13x 73

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 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 = 20158718736/(1x4)

LCM = 20158718736/4

LCM = 5039679684

Thus, we can understand that the LCM of 542,284,949,138 is 5039679684.

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

• LCM of 874, 156, 370, 577
• LCM of 844, 151, 491, 876
• LCM of 959, 987, 153, 348
• LCM of 912, 777, 810, 577
• LCM of 998, 596, 484, 131

1. What is the LCM of 542, 284, 949, 138?

Answer: LCM of 542, 284, 949, 138 is 5039679684.

2. How to calculate the LCM of 542, 284, 949, 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 542, 284, 949, 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}.