Given numbers are 892,102,493,269

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

The LCM of 892,102,493,269 is 354883092.

Find LCM of 892,102,493,269 with Prime Factorization

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

2 x 17 x 446 x 3 x 29 x 269 = 354883092

Therefore, the lowest common multiple of 892,102,493,269 is 354883092.

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.

892 x 102 x 493 x 269 = 12066025128

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.

892 : 1, 2, 4, 223, 446, 892

102 : 1, 2, 3, 6, 17, 34, 51, 102

493 : 1, 17, 29, 493

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,102,493,269, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

102:2x 3x 17

493:17x 29

269:269

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 12066025128/(1x34)

LCM = 12066025128/34

LCM = 354883092

Thus, we can understand that the LCM of 892,102,493,269 is 354883092.

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

• LCM of 992, 290, 424, 215
• LCM of 264, 760, 506, 502
• LCM of 692, 344, 695, 967
• LCM of 627, 364, 270, 560
• LCM of 882, 536, 690, 584

1. What is the LCM of 892, 102, 493, 269?

Answer: LCM of 892, 102, 493, 269 is 354883092.

2. How to calculate the LCM of 892, 102, 493, 269?

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 892, 102, 493, 269.

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}.