Given numbers are 5142,9214

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

The LCM of 5142,9214 is 23689194.

Find LCM of 5142,9214 with Prime Factorization

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

2 x 2571 x 4607 = 23689194

Therefore, the lowest common multiple of 5142,9214 is 23689194.

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.

5142 x 9214 = 47378388

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.

5142 : 1, 2, 3, 6, 857, 1714, 2571, 5142

9214 : 1, 2, 17, 34, 271, 542, 4607, 9214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5142,9214, is 2.

Now, the common factors can be found like this.

5142:2x 3x 857

9214:2x 17x 271

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

= 1

Therefore, the value for common factors is 1.

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 = 47378388/(2x1)

LCM = 47378388/2

LCM = 23689194

Thus, we can understand that the LCM of 5142,9214 is 23689194.

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

• LCM of 2410, 3680
• LCM of 1052, 5367
• LCM of 6940, 2659
• LCM of 6735, 8040
• LCM of 7890, 6027

1. What is the LCM of 5142, 9214?

Answer: LCM of 5142, 9214 is 23689194.

2. How to calculate the LCM of 5142, 9214?

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 5142, 9214.

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}.