Given numbers are 574,77,102

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

The LCM of 574,77,102 is 322014.

Find LCM of 574,77,102 with Prime Factorization

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

2 x 7 x 41 x 11 x 51 = 322014

Therefore, the lowest common multiple of 574,77,102 is 322014.

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.

574 x 77 x 102 = 4508196

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

77 : 1, 7, 11, 77

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,77,102, is 1.

Now, the common factors can be found like this.

574:2x 7x 41

77:7x 11

102:2x 3x 17

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 4508196/(1x14)

LCM = 4508196/14

LCM = 322014

Thus, we can understand that the LCM of 574,77,102 is 322014.

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

• LCM of 502, 95, 922
• LCM of 749, 21, 979
• LCM of 760, 15, 114
• LCM of 168, 52, 805
• LCM of 378, 37, 745

1. What is the LCM of 574, 77, 102?

Answer: LCM of 574, 77, 102 is 322014.

2. How to calculate the LCM of 574, 77, 102?

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 574, 77, 102.

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}.