Given numbers are 119,170,221,424

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

The LCM of 119,170,221,424 is 3279640.

Find LCM of 119,170,221,424 with Prime Factorization

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

2 x 17 x 7 x 5 x 13 x 212 = 3279640

Therefore, the lowest common multiple of 119,170,221,424 is 3279640.

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.

119 x 170 x 221 x 424 = 1895631920

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.

119 : 1, 7, 17, 119

170 : 1, 2, 5, 10, 17, 34, 85, 170

221 : 1, 13, 17, 221

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,170,221,424, is 1.

Now, the common factors can be found like this.

119:7x 17

170:2x 5x 17

221:13x 17

424:2x 2x 2x 53

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

2x 17x 17 = 578

Therefore, the value for common factors is 578.

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 = 1895631920/(1x578)

LCM = 1895631920/578

LCM = 3279640

Thus, we can understand that the LCM of 119,170,221,424 is 3279640.

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

• LCM of 432, 334, 933, 118
• LCM of 944, 533, 117, 176
• LCM of 466, 868, 350, 520
• LCM of 432, 373, 435, 244
• LCM of 143, 558, 955, 357

1. What is the LCM of 119, 170, 221, 424?

Answer: LCM of 119, 170, 221, 424 is 3279640.

2. How to calculate the LCM of 119, 170, 221, 424?

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 119, 170, 221, 424.

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}.