Given numbers are 253,121,198,674

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

The LCM of 253,121,198,674 is 16881678.

Find LCM of 253,121,198,674 with Prime Factorization

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

2 x 11 x 23 x 11 x 9 x 337 = 16881678

Therefore, the lowest common multiple of 253,121,198,674 is 16881678.

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.

253 x 121 x 198 x 674 = 4085366076

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.

253 : 1, 11, 23, 253

121 : 1, 11, 121

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,121,198,674, is 1.

Now, the common factors can be found like this.

253:11x 23

121:11x 11

198:2x 3x 3x 11

674:2x 337

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 = 4085366076/(1x242)

LCM = 4085366076/242

LCM = 16881678

Thus, we can understand that the LCM of 253,121,198,674 is 16881678.

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

• LCM of 443, 405, 543, 320
• LCM of 977, 370, 600, 755
• LCM of 227, 129, 315, 891
• LCM of 422, 345, 218, 171
• LCM of 343, 445, 829, 243

1. What is the LCM of 253, 121, 198, 674?

Answer: LCM of 253, 121, 198, 674 is 16881678.

2. How to calculate the LCM of 253, 121, 198, 674?

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 253, 121, 198, 674.

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}.