Given numbers are 98,33,22,407

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

The LCM of 98,33,22,407 is 119658.

Find LCM of 98,33,22,407 with Prime Factorization

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

2 x 11 x 49 x 3 x 1 x 37 = 119658

Therefore, the lowest common multiple of 98,33,22,407 is 119658.

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.

98 x 33 x 22 x 407 = 28957236

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.

98 : 1, 2, 7, 14, 49, 98

33 : 1, 3, 11, 33

22 : 1, 2, 11, 22

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 98,33,22,407, is 1.

Now, the common factors can be found like this.

98:2x 7x 7

33:3x 11

22:2x 11

407:11x 37

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 28957236/(1x242)

LCM = 28957236/242

LCM = 119658

Thus, we can understand that the LCM of 98,33,22,407 is 119658.

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

• LCM of 39, 33, 17, 410
• LCM of 17, 85, 66, 298
• LCM of 29, 31, 74, 927
• LCM of 83, 67, 24, 205
• LCM of 85, 84, 57, 117

1. What is the LCM of 98, 33, 22, 407?

Answer: LCM of 98, 33, 22, 407 is 119658.

2. How to calculate the LCM of 98, 33, 22, 407?

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 98, 33, 22, 407.

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}.