Given numbers are 262,78,219

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

The LCM of 262,78,219 is 745914.

Find LCM of 262,78,219 with Prime Factorization

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

2 x 3 x 131 x 13 x 73 = 745914

Therefore, the lowest common multiple of 262,78,219 is 745914.

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.

262 x 78 x 219 = 4475484

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.

262 : 1, 2, 131, 262

78 : 1, 2, 3, 6, 13, 26, 39, 78

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,78,219, is 1.

Now, the common factors can be found like this.

262:2x 131

78:2x 3x 13

219:3x 73

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 = 4475484/(1x6)

LCM = 4475484/6

LCM = 745914

Thus, we can understand that the LCM of 262,78,219 is 745914.

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

• LCM of 259, 31, 104
• LCM of 185, 44, 494
• LCM of 256, 43, 460
• LCM of 573, 59, 291
• LCM of 968, 57, 794

1. What is the LCM of 262, 78, 219?

Answer: LCM of 262, 78, 219 is 745914.

2. How to calculate the LCM of 262, 78, 219?

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 262, 78, 219.

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}.