Given numbers are 133,49,294

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

The LCM of 133,49,294 is 5586.

Find LCM of 133,49,294 with Prime Factorization

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

7 x 7 x 19 x 1 x 6 = 5586

Therefore, the lowest common multiple of 133,49,294 is 5586.

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.

133 x 49 x 294 = 1915998

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.

133 : 1, 7, 19, 133

49 : 1, 7, 49

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,49,294, is 7.

Now, the common factors can be found like this.

133:7x 19

49:7x 7

294:2x 3x 7x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 1915998/(7x49)

LCM = 1915998/343

LCM = 5586

Thus, we can understand that the LCM of 133,49,294 is 5586.

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

• LCM of 577, 30, 144
• LCM of 205, 58, 492
• LCM of 381, 47, 220
• LCM of 734, 11, 607
• LCM of 824, 91, 233

1. What is the LCM of 133, 49, 294?

Answer: LCM of 133, 49, 294 is 5586.

2. How to calculate the LCM of 133, 49, 294?

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 133, 49, 294.

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}.