Given numbers are 223,171,133,260

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

The LCM of 223,171,133,260 is 69402060.

Find LCM of 223,171,133,260 with Prime Factorization

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

19 x 223 x 9 x 7 x 260 = 69402060

Therefore, the lowest common multiple of 223,171,133,260 is 69402060.

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.

223 x 171 x 133 x 260 = 1318639140

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.

223 : 1, 223

171 : 1, 3, 9, 19, 57, 171

133 : 1, 7, 19, 133

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,171,133,260, is 1.

Now, the common factors can be found like this.

223:223

171:3x 3x 19

133:7x 19

260:2x 2x 5x 13

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

19 = 19

Therefore, the value for common factors is 19.

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 = 1318639140/(1x19)

LCM = 1318639140/19

LCM = 69402060

Thus, we can understand that the LCM of 223,171,133,260 is 69402060.

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

• LCM of 474, 923, 636, 623
• LCM of 905, 532, 457, 607
• LCM of 843, 746, 894, 685
• LCM of 993, 979, 290, 735
• LCM of 597, 319, 135, 415

1. What is the LCM of 223, 171, 133, 260?

Answer: LCM of 223, 171, 133, 260 is 69402060.

2. How to calculate the LCM of 223, 171, 133, 260?

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 223, 171, 133, 260.

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}.