Given numbers are 892,69,357

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

The LCM of 892,69,357 is 7324212.

Find LCM of 892,69,357 with Prime Factorization

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

3 x 892 x 23 x 119 = 7324212

Therefore, the lowest common multiple of 892,69,357 is 7324212.

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 69 x 357 = 21972636

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

69 : 1, 3, 23, 69

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,69,357, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

69:3x 23

357:3x 7x 17

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

3 = 3

Therefore, the value for common factors is 3.

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 = 21972636/(1x3)

LCM = 21972636/3

LCM = 7324212

Thus, we can understand that the LCM of 892,69,357 is 7324212.

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

• LCM of 834, 64, 408
• LCM of 876, 11, 648
• LCM of 629, 50, 197
• LCM of 150, 72, 150
• LCM of 868, 84, 269

1. What is the LCM of 892, 69, 357?

Answer: LCM of 892, 69, 357 is 7324212.

2. How to calculate the LCM of 892, 69, 357?

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, 69, 357.

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}.