Given numbers are 292,213,142

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

The LCM of 292,213,142 is 62196.

Find LCM of 292,213,142 with Prime Factorization

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

2 x 71 x 146 x 3 x 1 = 62196

Therefore, the lowest common multiple of 292,213,142 is 62196.

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.

292 x 213 x 142 = 8831832

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.

292 : 1, 2, 4, 73, 146, 292

213 : 1, 3, 71, 213

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,213,142, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

213:3x 71

142:2x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 8831832/(1x142)

LCM = 8831832/142

LCM = 62196

Thus, we can understand that the LCM of 292,213,142 is 62196.

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

• LCM of 411, 501, 825
• LCM of 431, 860, 247
• LCM of 120, 973, 175
• LCM of 833, 227, 933
• LCM of 467, 551, 216

1. What is the LCM of 292, 213, 142?

Answer: LCM of 292, 213, 142 is 62196.

2. How to calculate the LCM of 292, 213, 142?

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 292, 213, 142.

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}.